Veröffentlichungen "Peternell, Thomas"

2020

Greb, Daniel ; Kebekus, Stefan ; Peternell, Thomas:
Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor.
Cornell University
Ithaca, NY, USA , 2020

Höring, Andreas ; Peternell, Thomas:
A Nonvanishing Conjecture for Cotangent Bundles.
Cornell University
Ithaca, NY, USA , 2020 . - 30 S.

Campana, Frédéric ; Demailly, Jean-Pierre ; Peternell, Thomas:
The algebraic dimension of compact complex threefolds with vanishing second Betti number.
In: Compositio Mathematica. Bd. 156 (2020) Heft 4 . - S. 679-696.
ISSN 1570-5846
DOI: https://doi.org/10.1112/S0010437X19007802

Peternell, Thomas:
Deformations of the tangent bundle of projective manifolds.
In: International Journal of Mathematics. Bd. 31 (2020) Heft 11 . - 2050087.
ISSN 1793-6519
DOI: https://doi.org/10.1142/S0129167X20500871

Greb, Daniel ; Kebekus, Stefan ; Peternell, Thomas ; Taji, Behrouz:
Harmonic metrics on Higgs sheaves and uniformization of varieties of general type.
In: Mathematische Annalen. Bd. 378 (2020) . - S. 1061-1094.
ISSN 1432-1807
DOI: https://doi.org/10.1007/s00208-019-01906-4

Lazić, Vladimir ; Peternell, Thomas:
Maps from K-trivial varieties and connectedness problems.
In: Annales Henri Lebesgue. Bd. 3 (2020) . - S. 473-500.
ISSN 2644-9463
DOI: https://doi.org/10.5802/ahl.38

Lazić, Vladimir ; Oguiso, Keiji ; Peternell, Thomas:
Nef Line Bundles on Calabi–Yau Threefolds : I.
In: International Mathematics Research Notices. (2020) Heft 19 . - S. 6070-6119.
ISSN 1687-0247
DOI: https://doi.org/10.1093/imrn/rny191

Lazić, Vladimir ; Peternell, Thomas:
On Generalised Abundance : I.
In: Publications of the Research Institute for Mathematical Sciences : Ky¯oto-daigaku-s¯uri-kaiseki-kenky¯usho-kiy¯o. Bd. 56 (2020) Heft 2 . - S. 353-389.
ISSN 1663-4926
DOI: https://doi.org/10.4171/PRIMS/56-2-3

Lazić, Vladimir ; Peternell, Thomas:
On Generalised Abundance : II.
In: Peking Mathematical Journal. Bd. 3 (2020) Heft 1 . - S. 1-46.
ISSN 2524-7182
DOI: https://doi.org/10.1007/s42543-019-00022-1

Oguiso, Keiji ; Peternell, Thomas:
On the Homeomorphism Type of Smooth Projective Fourfolds.
In: Acta Mathematica Vietnamica. Bd. 45 (2020) . - S. 137-160.
ISSN 2315-4144
DOI: https://doi.org/10.1007/s40306-019-00346-1

2019

Höring, Andreas ; Peternell, Thomas:
Algebraic integrability of foliations with numerically trivial canonical bundle.
In: Inventiones Mathematicae. Bd. 216 (2019) Heft 2 . - S. 395-419.
ISSN 1432-1297
DOI: https://doi.org/10.1007/s00222-018-00853-2

Greb, Daniel ; Kebekus, Stefan ; Peternell, Thomas ; Taji, Behrouz:
The Miyaoka-Yau inequality and uniformisation of canonical models.
In: Annales Scientifiques de l'École Normale Supérieure. Bd. 52 (2019) Heft 6 . - S. 1487-1535.
ISSN 1873-2151
DOI: https://doi.org/10.24033/asens.2414

Greb, Daniel ; Kebekus, Stefan ; Peternell, Thomas ; Taji, Behrouz:
Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles.
In: Compositio Mathematica. Bd. 155 (2019) Heft 2 . - S. 289-323.
ISSN 1570-5846
DOI: https://doi.org/10.1112/S0010437X18007923

2018

Lazić, Vladimir ; Peternell, Thomas:
Abundance for varieties with many differential forms.
In: Épijournal de Géométrie Algébrique. Bd. 2 (2018) Heft 1 . - 35 S..
ISSN 2491-6765
DOI: https://doi.org/10.46298/epiga.2018.volume2.3867

Höring, Andreas ; Peternell, Thomas:
Bimeromorphic geometry of Kähler threefolds.
In: de Fernex, Tommaso ; Hassett, Brendan ; Mustaţă, Mircea ; Olsson, Martin ; Popa, Mihnea ; Thomas, Richard (Hrsg.): Algebraic Geometry : Salt Lake City 2015 (Part 1) ; 2015 Summer Research Institute, July 13-31, University of Utah, Salt Lake City, Utah. - Providence, RI : American Mathematical Society , 2018 . - S. 381-402 . - (Proceedings of Symposia in Pure Mathematics ; 97,1 )
ISBN 978-1-4704-4678-9

Peternell, Thomas:
Jean-Pierre : some personal reminiscences.
In: Annales de l'Institut Fourier. Bd. 68 (2018) Heft 7 . - S. 2779-2781.
ISSN 1777-5310
DOI: https://doi.org/10.5802/aif.3224

Lazić, Vladimir ; Oguiso, Keiji ; Peternell, Thomas:
The Morrison-Kawamata Cone Conjecture and Abundance on Ricci flat manifolds.
In: Ji, Lizhen ; Yau, Shing-Tung (Hrsg.): Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds & Picard-Fuchs Equations. - Somerville, MA : International Press, Inc. , 2018 . - S. 157-185 . - (Advanced Lectures in Mathematics ; 42 )
ISBN 9781571463630

2017

Lazić, Vladimir ; Oguiso, Keiji ; Peternell, Thomas:
Automorphisms of Calabi-Yau threefolds with Picard number three.
In: Oguiso, Keiji ; Birkar, Caucher ; Ishii, Shihoko ; Takayama, Shigeharu (Hrsg.): Higher Dimensional Algebraic Geometry : In honour of Professor Yujiro Kawamata's sixtieth birthday. - Tokyo : Mathematical Society of Japan , 2017 . - S. 279-290 . - (Advanced Studies in Pure Mathematics ; 74 )
ISBN 978-4-86497-047-1
DOI: https://doi.org/10.2969/aspm/07410279

Lazić, Vladimir ; Peternell, Thomas:
Rationally connected varieties : On a conjecture of Mumford.
In: Science China Mathematics. Bd. 60 (2017) . - S. 1019-1028.
ISSN 1869-1862
DOI: https://doi.org/10.1007/s11425-016-9039-2

2016

Campana, Frédéric ; Höring, Andreas ; Peternell, Thomas:
Abundance for Kähler threefolds : Abondance pour les variétés kälhériennes de dimension 3.
In: Annales Scientifiques de l'École Normale Supérieure. Bd. 49 (2016) Heft 4 . - S. 971-1025.
ISSN 1873-2151
DOI: https://doi.org/10.24033/asens.2301

Kebekus, Stefan ; Peternell, Thomas:
Aspects of the Geometry of Varieties with Canonical Singularities.
In: Cascini, Paolo ; McKernan, James ; Pereira, Jorge Vitório (Hrsg.): Foliation Theory in Algebraic Geometry. - Cham : Springer , 2016 . - S. 73-102 . - (Simons Symposia )
ISBN 978-3-319-24460-0
DOI: https://doi.org/10.1007/978-3-319-24460-0_4

Höring, Andreas ; Peternell, Thomas:
Minimal models for Kähler threefolds.
In: Inventiones Mathematicae. Bd. 203 (2016) Heft 1 . - S. 217-264.
ISSN 1432-1297
DOI: https://doi.org/10.1007/s00222-015-0592-x

Greb, Daniel ; Kebekus, Stefan ; Peternell, Thomas:
Movable Curves and Semistable Sheaves.
In: International Mathematics Research Notices. (2016) Heft 2 . - S. 536-570.
ISSN 1687-0247
DOI: https://doi.org/10.1093/imrn/rnv126

Greb, Daniel ; Kebekus, Stefan ; Peternell, Thomas:
Singular spaces with trivial canonical class.
In: Kollár, János ; Fujino, Osamu ; Mukai, Shigeru ; Nakayama, Noboru (Hrsg.): Minimal Models and Extremal Rays (Kyoto, 2011). - Tokyo : Mathematical Society of Japan , 2016 . - S. 67-113 . - (Advanced Studies in Pure Mathematics ; 70 )
ISBN 978-4-86497-037-2
DOI: https://doi.org/10.2969/aspm/07010067

Greb, Daniel ; Kebekus, Stefan ; Peternell, Thomas:
Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties.
In: Duke Mathematical Journal. Bd. 165 (2016) Heft 10 . - S. 1965-2004.
ISSN 1547-7398
DOI: https://doi.org/10.1215/00127094-3450859

2015

Höring, Andreas ; Peternell, Thomas:
Mori Fibre Spaces for Kähler Threefolds.
In: Journal of Mathematical Sciences / The University of Tokyo. Bd. 22 (2015) Heft 1 . - S. 219-246.
ISSN 1340-5705

Campana, Frédéric ; Demailly, Jean-Pierre ; Peternell, Thomas:
Rationally connected manifolds and semipositivity of the Ricci curvature.
In: Hacon, Christopher D. ; Mustaţă, Mircea ; Popa, Mihnea (Hrsg.): Recent Advances in Algebraic Geometry : A Volume in Honor of Rob Lazarsfeld’s 60th Birthday. - Cambridge : Cambridge University Press , 2015 . - S. 71-91 . - (London Mathematical Society Lecture Note Series ; 417 )
ISBN 978-1-107-41600-0
DOI: https://doi.org/10.1017/CBO9781107416000.006

2014

Peternell, Thomas ; Schrack, Florian:
Contact Kähler Manifolds : Symmetries and Deformations.
In: Frühbis-Krüger, Anne ; Kloosterman, Remke Nanne ; Schütt, Matthias (Hrsg.): Algebraic and Complex Geometry : In Honour of Klaus Hulek's 60th Birthday. - Cham : Springer , 2014 . - S. 285-308 . - (Springer Proceedings in Mathematics & Statistics ; 71 )
ISBN 978-3-319-05404-9
DOI: https://doi.org/10.1007/978-3-319-05404-9_11

Greb, Daniel ; Kebekus, Stefan ; Peternell, Thomas:
Reflexive differential forms on singular spaces : Geometry and cohomology.
In: Journal für die Reine und Angewandte Mathematik. (2014) Heft 697 . - S. 57-89.
ISSN 1435-5345
DOI: https://doi.org/10.1515/crelle-2012-0097

2013

Lazic, Vladimir ; Peternell, Thomas:
On the cone conjecture for Calabi-Yau manifolds with Picard number two.
In: Mathematical Research Letters. Bd. 20 (2013) Heft 6 . - S. 1103-1113.
ISSN 1945-001X
DOI: https://doi.org/10.4310/MRL.2013.v20.n6.a9

Boucksom, Sébastien ; Demailly, Jean-Pierre ; Păun, Mihai ; Peternell, Thomas:
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension.
In: Journal of Algebraic Geometry. Bd. 22 (2013) Heft 2 . - S. 201-248.
ISSN 1534-7486
DOI: https://doi.org/10.1090/S1056-3911-2012-00574-8

Höring, Andreas ; Peternell, Thomas ; Radloff, Ivo:
Uniformisation in dimension four : towards a conjecture of Iitaka.
In: Mathematische Zeitschrift. Bd. 274 (2013) . - S. 483-497.
ISSN 1432-1823
DOI: https://doi.org/10.1007/s00209-012-1081-1

2012

Peternell, Thomas:
Compact subvarieties with ample normal bundles, algebraicity, and cones of cycles.
In: Michigan Mathematical Journal. Bd. 61 (2012) Heft 4 . - S. 875-889.
ISSN 0026-2285
DOI: https://doi.org/10.1307/mmj/1353098517

Buczyński, Jarosław ; Peternell, Thomas:
Contact Moishezon threefolds with second Betti number one.
In: Archiv der Mathematik. Bd. 98 (2012) . - S. 427-431.
ISSN 1420-8938
DOI: https://doi.org/10.1007/s00013-012-0388-9

Peternell, Thomas:
Varieties with generically nef tangent bundles.
In: Journal of the European Mathematical Society. Bd. 14 (2012) Heft 2 . - S. 571-603.
ISSN 1435-9855
DOI: https://doi.org/10.4171/JEMS/312

2011

Greb, Daniel ; Kebekus, Stefan ; Kovács, Sándor J. ; Peternell, Thomas:
Differential forms on log canonical spaces.
In: Publications Mathématiques de L'IHÉS. Bd. 114 (2011) Heft 1 . - S. 87-169.
ISSN 1618-1913
DOI: https://doi.org/10.1007/s10240-011-0036-0

Peternell, Thomas:
Generically nef vector bundles and geometric applications.
In: Ebeling, Wolfgang ; Hulek, Klaus ; Smoczyk, Knut (Hrsg.): Complex and Differential Geometry : Conference held at Leibniz Universität Hannover, September 14 – 18, 2009. - Heidelberg : Springer , 2011 . - S. 345-368 . - (Springer Proceedings in Mathematics ; 8 )
ISBN 978-3-642-20300-8
DOI: https://doi.org/10.1007/978-3-642-20300-8_17

Campana, Frédéric ; Peternell, Thomas:
Geometric stability of the cotangent bundle and the universal cover of a projective manifold.
In: Bulletin de la SMF (Société Mathématique de France). Bd. 139 (2011) Heft 1 . - S. 41-74.
ISSN 0037-9484
DOI: https://doi.org/10.24033/bsmf.2599

Höring, Andreas ; Peternell, Thomas:
Non-algebraic compact Kähler threefolds admitting endomorphisms.
In: Science China Mathematics. Bd. 54 (2011) . - S. 1635-1664.
ISSN 1869-1862
DOI: https://doi.org/10.1007/s11425-011-4188-7

Frantzen, Kristina ; Peternell, Thomas:
On the Bimeromorphic Geometry of Compact Complex Contact Threefolds.
In: Faber, Carel ; van der Geer, Gerard ; Looijenga, Eduard (Hrsg.): Classification of Algebraic Varieties. - Zürich : European Mathematical Society , 2011 . - S. 277-288 . - (EMS Series of Congress Reports )
ISBN 978-3-03719-507-9
DOI: https://doi.org/10.4171/007-1/12

Jahnke, Priska ; Peternell, Thomas ; Radloff, Ivo:
Threefolds with big and nef anticanonical bundles II.
In: Central European Journal of Mathematics. Bd. 9 (2011) . - S. 449-488.
ISSN 1895-1074
DOI: https://doi.org/10.2478/s11533-011-0023-1

2010

Campana, Frédéric ; Oguiso, Keiji ; Peternell, Thomas:
Nonalgebraic hyperkähler manifolds.
In: Journal of Differential Geometry. Bd. 85 (2010) Heft 3 . - S. 397-424.
ISSN 1945-743X
DOI: https://doi.org/10.4310/jdg/1292940689

Catanese, Fabrizio ; Oguiso, Keiji ; Peternell, Thomas:
On volume-preserving complex structures on real tori.
In: Kyoto Journal of Mathematics. Bd. 50 (2010) Heft 4 . - S. 753-775.
ISSN 2154-3321
DOI: https://doi.org/10.1215/0023608X-2010-013

2009

Hulek, Klaus ; Peternell, Thomas:
Henri Cartan, ein französischer Freund.
In: Jahresbericht der Deutschen Mathematiker-Vereinigung. Bd. 111 (2009) Heft 2 . - S. 85-94.
ISSN 0012-0456

Peternell, Thomas:
Submanifolds with ample normal bundles and a conjecture of Hartshorne.
In: Bates, Daniel J. ; Besana, GianMario ; Di Rocco, Sandra ; Wampler, Charles W. (Hrsg.): Interactions of Classical and Numerical Algebraic Geometry : A Conference in Honor of Andrew Sommese Interactions of Classical and Numerical Algebraic Geometry, May 22–24 2008, University of Notre Dame, Notre Dame, Indiana. - Providence, RI : American Mathematical Society , 2009 . - S. 317-330 . - (Contemporary Mathematics ; 496 )
ISBN 978-0-8218-4746-6

2008

Jahnke, Priska ; Peternell, Thomas:
Almost del Pezzo manifolds.
In: Advances in Geometry. Bd. 8 (2008) Heft 3 . - S. 387-411.
ISSN 1615-7168
DOI: https://doi.org/10.1515/ADVGEOM.2008.026

Demailly, Jean-Pierre ; Hwang, Jun-Muk ; Peternell, Thomas:
Compact Manifolds Covered by a Torus.
In: Journal of Geometric Analysis. Bd. 18 (2008) Heft 2 . - S. 324-340.
ISSN 1559-002X
DOI: https://doi.org/10.1007/s12220-008-9017-z

Peternell, Thomas:
Finite morphisms of projective and Kähler manifolds.
In: Science in China Series A : Mathematics. Bd. 51 (2008) . - S. 685-694.
ISSN 1862-2763
DOI: https://doi.org/10.1007/s11425-007-0134-0

Aprodu, Marian ; Kebekus, Stefan ; Peternell, Thomas:
Galois coverings and endomorphisms of projective varieties.
In: Mathematische Zeitschrift. Bd. 260 (2008) . - S. 431-449.
ISSN 1432-1823
DOI: https://doi.org/10.1007/s00209-007-0282-5

Kebekus, Stefan ; Peternell, Thomas:
A Refinement of Stein Factorization and Deformations of Surjective Morphisms.
In: Asian Journal of Mathematics. Bd. 12 (2008) Heft 3 . - S. 365-390.
ISSN 1945-0036
DOI: https://doi.org/10.4310/AJM.2008.v12.n3.a6

Campana, Frédéric ; Chen, Jungkai A. ; Peternell, Thomas:
Strictly nef divisors.
In: Mathematische Annalen. Bd. 342 (2008) . - S. 565-585.
ISSN 1432-1807
DOI: https://doi.org/10.1007/s00208-008-0248-x

2007

Aprodu, Marian ; Kebekus, Stefan ; Peternell, Thomas:
Endomorphisms of projective varieties : Version 2.
Cornell University
Ithaca, NY, USA , 2007 . - 30 S.

Hwang, Jun-Muk ; Peternell, Thomas:
Holomorphic maps onto Kähler manifolds with non-negative Kodaira dimension.
In: Journal of the Korean Mathematical Society. Bd. 44 (2007) Heft 5 . - S. 1079-1092.
ISSN 2234-3008

2006

Hwang, Jun-Muk ; Kebekus, Stefan ; Peternell, Thomas:
Holomorphic maps onto varieties of non-negative Kodaira dimension.
In: Journal of Algebraic Geometry. Bd. 15 (2006) Heft 3 . - S. 551-561.
ISSN 1534-7486
DOI: https://doi.org/10.1090/S1056-3911-05-00411-X

Peternell, Thomas:
Kodaira Dimension of Subvarieties : II.
In: International Journal of Mathematics. Bd. 17 (2006) Heft 5 . - S. 619-631.
ISSN 1793-6519
DOI: https://doi.org/10.1142/S0129167X0600362X

Huckleberry, Alan ; Peternell, Thomas:
Several Complex Variables : Basic Geometric Theory.
In: Françoise, Jean-Pierre ; Naber, Gregory L. ; Tsun, Tsou Sheung (Hrsg.): Encyclopedia of Mathematical Physics : Vols 1 - 5. - Amsterdam : Elsevier , 2006 . - S. 540-550
ISBN 978-0-12-512666-3
DOI: https://doi.org/10.1016/B0-12-512666-2/00469-7

Huckleberry, Alan ; Peternell, Thomas:
Several Complex Variables : Compact Manifolds.
In: Françoise, Jean-Pierre ; Naber, Gregory L. ; Tsun, Tsou Sheung (Hrsg.): Encyclopedia of Mathematical Physics : Vols 1 - 5. - Amsterdam : Elsevier , 2006 . - S. 551-559
ISBN 978-0-12-512666-3
DOI: https://doi.org/10.1016/B0-12-512666-2/00448-X

Jahnke, Priska ; Peternell, Thomas ; Radloff, Ivo:
Some Recent Developments in the Classification Theory of Higher Dimensional Manifolds.
In: Catanese, Fabrizio ; Esnault, Hélène ; Huckleberry, Alan T. ; Hulek, Klaus ; Peternell, Thomas (Hrsg.): Global Aspects of Complex Geometry. - Berlin : Springer , 2006 . - S. 311-357
ISBN 978-3-540-35480-2
DOI: https://doi.org/10.1007/3-540-35480-8_9

2005

Demailly, Jean-Pierre ; Eckl, Thomas ; Peternell, Thomas:
Line bundles on complex tori and a conjecture of Kodaira.
In: Commentarii Mathematici Helvetici. Bd. 80 (2005) Heft 2 . - S. 229-242.
ISSN 1420-8946
DOI: https://doi.org/10.4171/CMH/13

Jahnke, Priska ; Peternell, Thomas ; Radloff, Ivo:
Threefolds with big and nef anticanonical bundles I.
In: Mathematische Annalen. Bd. 333 (2005) . - S. 569-631.
ISSN 1432-1807
DOI: https://doi.org/10.1007/s00208-005-0682-y

2004

Peternell, Thomas ; Sommese, Andrew J.:
Ample Vector Bundles and Branched Coverings : II.
In: Collino, Alberto , Università degli Studi di Torino, Dipartimento di Matematica (Hrsg.): The Fano Conference : organized to commemorate the 50th anniversary of the death of Gino Fano (1871 - 1952) ; Torino (Italy), 29 September - 5 October 2002 ; proceedings. - Torino : Univ. di Torino, Dipartamento di Matematica , 2004 . - S. 625-645
ISBN 88-900876-1-7

Oguiso, Keiji ; Peternell, Thomas:
The Dual Kähler Cone of Compact Kähler Threefolds.
In: Communications in Analysis and Geometry. Bd. 12 (2004) Heft 5 . - S. 1131-1154.
ISSN 1944-9992
DOI: https://doi.org/10.4310/CAG.2004.v12.n5.a7

Bauer, Thomas ; Peternell, Thomas:
Nef Reduction and Anticanonical Bundles.
In: Asian Journal of Mathematics. Bd. 8 (2004) Heft 2 . - S. 315-352.
ISSN 1945-0036
DOI: https://doi.org/10.4310/AJM.2004.v8.n2.a7

2003

Demailly, Jean-Pierre ; Peternell, Thomas:
A Kawamata-Viehweg Vanishing Theorem on Compact Kähler Manifolds.
In: Journal of Differential Geometry. Bd. 63 (2003) Heft 2 . - S. 231-277.
ISSN 1945-743X
DOI: https://doi.org/10.4310/jdg/1090426678

Campana, Frédéric ; Peternell, Thomas ; Zhang, Qi:
On the Albanese maps of compact Kähler manifolds.
In: Proceedings of the American Mathematical Society. Bd. 131 (2003) Heft 2 . - S. 549-553.
ISSN 1088-6826

2002

Campana, Frédéric ; Peternell, Thomas ; Pukhlikov, A. V.:
Generalized Tsen's theorem and rationally connected Fano fibrations.
In: Sbornik : Mathematics. Bd. 193 (2002) Heft 10 . - S. 1443-1468.
ISSN 1468-4802
DOI: https://doi.org/10.1070/SM2002v193n10ABEH000685

Kebekus, Stefan ; Peternell, Thomas ; Sommese, Andrew J.:
Manifolds with Nef Rank 1 Subsheaves in ΩX1.
In: Bauer, Ingrid ; Catanese, Fabrizio ; Kawamata, Yujiro ; Peternell, Thomas ; Siu, Yum-Tong (Hrsg.): Complex Geometry : Collection of Papers Dedicated to Hans Grauert. - Berlin : Springer , 2002 . - S. 157-164
ISBN 978-3-642-56202-0
DOI: https://doi.org/10.1007/978-3-642-56202-0_11

Campana, Frédéric ; Peternell, Thomas:
Projective manifolds with splitting tangent bundle : I.
In: Mathematische Zeitschrift. Bd. 241 (2002) . - S. 613-637.
ISSN 1432-1823
DOI: https://doi.org/10.1007/s00209-002-0435-5

Bauer, Thomas ; Campana, Frédéric ; Eckl, Thomas ; Kebekus, Stefan ; Peternell, Thomas ; Rams, Sławomir ; Szemberg, Tomasz ; Wotzlaw, Lorenz:
A Reduction Map for Nef Line Bundles.
In: Bauer, Ingrid ; Catanese, Fabrizio ; Kawamata, Yujiro ; Peternell, Thomas ; Siu, Yum-Tong (Hrsg.): Complex Geometry : Collection of Papers Dedicated to Hans Grauert. - Berlin : Springer , 2002 . - S. 27-36
ISBN 978-3-642-56202-0
DOI: https://doi.org/10.1007/978-3-642-56202-0_2

2001

Peternell, Thomas:
Subsheaves in the Tangent Bundle : Integrability, Stability and Positivity.
In: Demailly, J.-P. ; Göttsche, L. ; Lazarsfeld, R. (Hrsg.): School on Vanishing Theorems and Effective Results in Algebraic Geometry : 25 April - 12 May 2000. - Trieste : The Abdus Salam International Centre for Theoretical Physics , 2001 . - S. 285-334 . - (ICTP Lecture Notes ; 6 )
ISBN 92-95003-09-8

Campana, Frédéric ; Peternell, Thomas:
Appendix to the article of T. Peternell: the Kodaira dimension of Kummer threefolds.
In: Bulletin de la SMF (Société Mathématique de France). Bd. 129 (2001) Heft 3 . - S. 357-359.
ISSN 0037-9484
DOI: https://doi.org/10.24033/bsmf.2401

Peternell, Thomas:
Compact Kähler Threefolds with Small Picard Numbers.
In: Ciliberto, Ciro ; Hirzebruch, Friedrich ; Miranda, Rick ; Teicher, Mina (Hrsg.): Applications of Algebraic Geometry to Coding Theory, Physics and Computation : Proceedings of the NATO Advanced Research Workshop, held in Eilat, Israel, from 25th February to 1st March 2001. - Dordrecht : Kluwer , 2001 . - S. 271-290 . - (NATO Science Series : Series II, Mathematics,Physics and Chemistry ; 36 )
ISBN 978-94-010-1011-5
DOI: https://doi.org/10.1007/978-94-010-1011-5_14

Peternell, Thomas:
Contact Structures, Rational Curves and Mori Theory.
In: Casacuberta, Carles ; Miró-Roig, Rosa Maria ; Verdera, Joan ; Xambó-Descamps, Sebastià (Hrsg.): European Congress of Mathematics : Barcelona, July 10–14, 2000, Volume I. - Basel : Birkhäuser Verlag , 2001 . - S. 509-518 . - (Progress in Mathematics ; 201 )
ISBN 978-3-0348-8268-2
DOI: https://doi.org/10.1007/978-3-0348-8268-2_30

Demailly, Jean-Pierre ; Peternell, Thomas ; Schneider, Michael:
Pseudo-effective line bundles on compact Kähler manifolds.
In: International Journal of Mathematics. Bd. 12 (2001) Heft 6 . - S. 689-741.
ISSN 1793-6519
DOI: https://doi.org/10.1142/S0129167X01000861

Peternell, Thomas:
Towards a Mori theory on compact Kähler threefolds : III.
In: Bulletin de la SMF (Société Mathématique de France). Bd. 129 (2001) Heft 3 . - S. 339-356.
ISSN 0037-9484
DOI: https://doi.org/10.24033/bsmf.2400

2000

Peternell, Thomas ; Sommese, Andrew J.:
Ample vector bundles and branched coverings.
In: Communications in Algebra. Bd. 28 (2000) Heft 12 . - S. 5573-5599.
ISSN 1532-4125
DOI: https://doi.org/10.1080/00927870008827176

Campana, Frédéric ; Peternell, Thomas:
Complex threefolds with non-trivial holomorphic 2-forms.
In: Journal of Algebraic Geometry. Bd. 9 (2000) Heft 2 . - S. 223-264.
ISSN 1534-7486

Huckleberry, Alan T. ; Kebekus, Stefan ; Peternell, Thomas:
Group actions on S6 and complex structures on ℙ3.
In: Duke Mathematical Journal. Bd. 102 (2000) Heft 1 . - S. 101-124.
ISSN 1547-7398
DOI: https://doi.org/10.1215/S0012-7094-00-10214-1

Kebekus, Stefan ; Peternell, Thomas ; Sommese, Andrew J. ; Wiśniewski, Jarosław A.:
Projective contact manifolds.
In: Inventiones Mathematicae. Bd. 142 (2000) . - S. 1-15.
ISSN 1432-1297
DOI: https://doi.org/10.1007/PL00005791

Oguiso, Keiji ; Peternell, Thomas:
Projectivity via the dual Kähler cone : Huybrechts’ criterion.
In: Asian Journal of Mathematics. Bd. 4 (2000) Heft 1 . - S. 213-220.
ISSN 1945-0036
DOI: https://doi.org/10.4310/AJM.2000.v4.n1.a13

Peternell, Thomas:
The scientific work of Michael Schneider.
In: Peternell, Thomas ; Schreyer, Frank-Olaf (Hrsg.): Complex Analysis and Algebraic Geometry : A Volume in Memory of Michael Schneider. - Berlin : de Gruyter , 2000 . - S. 375-388 . - (De Gruyter Proceedings in Mathematics )
ISBN 978-3-11-080609-0
DOI: https://doi.org/10.1515/9783110806090-018

1999

Peternell, Thomas ; Schneider, Michael ; Sommese, Andrew J.:
Kodaira dimension of subvarieties.
In: International Journal of Mathematics. Bd. 10 (1999) Heft 8 . - S. 1065-1079.
ISSN 1793-6519
DOI: https://doi.org/10.1142/S0129167X9900046X

Campana, Frédéric ; Peternell, Thomas:
Recent Developments in the Classification Theory of Compact Kähler Manifolds.
In: Schneider, Michael ; Siu, Yum-Tong (Hrsg.): Several Complex Variables. - Cambridge : Cambridge University Press , 1999 . - S. 113-159 . - (Mathematical Sciences Research Institute Publications ; 37 )
ISBN 978-0-521-77086-6

1998

Campana, Frédéric ; Demailly, Jean-Pierre ; Peternell, Thomas:
The algebraic dimension of compact complex threefolds with vanishing second Betti number.
In: Compositio Mathematica. Bd. 112 (1998) Heft 1 . - S. 77-91.
ISSN 1570-5846
DOI: https://doi.org/10.1023/A:1000313214795

Oguiso, Keiji ; Peternell, Thomas:
Calabi–Yau threefolds with positive second Chern class.
In: Communications in Analysis and Geometry. Bd. 6 (1998) Heft 1 . - S. 153-172.
ISSN 1944-9992
DOI: https://doi.org/10.4310/CAG.1998.v6.n1.a5

Peternell, Thomas:
Moishezon Manifolds and Rigidity Theorems.
In: Peternell, Thomas ; Zeitler, H. ; Lempio, Frak ; Veliov, V. (Hrsg.): Moishezon Manifolds and Rigidity Theorems : Altes und Neues über Quasigruppen ; Discrete Approximations of Differential Inclusions. - Bayreuth , 1998 . - S. 1-108 . - (Bayreuther Mathematische Schriften ; 54 )

Campana, Frédéric ; Peternell, Thomas:
Rational curves and ampleness properties¶of the tangent bundle of algebraic varieties.
In: Manuscripta Mathematica. Bd. 97 (1998) . - S. 59-74.
ISSN 1432-1785
DOI: https://doi.org/10.1007/s002290050085

Peternell, Thomas ; Serrano, Fernando:
Threefolds with nef anticanonical bundles : Dedicated to the memory of Fernando Serrano.
In: Collectanea Mathematica. Bd. 49 (1998) Heft 2-3 . - S. 465-517.
ISSN 2038-4815

Peternell, Thomas:
Towards a Mori theory on compact Kähler threefolds : II.
In: Mathematische Annalen. Bd. 311 (1998) . - S. 729-764.
ISSN 1432-1807
DOI: https://doi.org/10.1007/s002080050207

1997

Miyaoka, Yoichi ; Peternell, Thomas:
Geometry of Higher Dimensional Algebraic Varieties.
Basel : Birkhäuser , 1997 . - (DMV Seminar ; 26 )
ISBN 978-3-0348-8893-6

DOI: https://doi.org/10.1007/978-3-0348-8893-6

Andreatta, M. ; Peternell, Thomas:
On the limits of manifolds with nef canonical bundles.
In: Ancona, Vincenzo ; Ballico, E. ; Mirò-Roig, R. M. ; Silva, A. (Hrsg.): Complex analysis and geometry. - Harlow, UK : Longman , 1997 . - S. 1-6 . - (Pitman Research Notes in Mathematics Series ; 366 )
ISBN 0-582-29276-X

Campana, Frédéric ; Peternell, Thomas:
Towards a Mori Theory on Compact Kähler Threefolds : I.
In: Mathematische Nachrichten. Bd. 187 (1997) Heft 1 . - S. 29-59.
ISSN 1522-2616
DOI: https://doi.org/10.1002/mana.19971870104

1996

Demailly, Jean-Pierre ; Peternell, Thomas ; Schneider, Michael:
Compact Kähler manifolds with hermitian semipositive anticanonical bundle.
In: Compositio Mathematica. Bd. 101 (1996) Heft 2 . - S. 217-224.
ISSN 1570-5846

Demailly, J. P. ; Peternell, Thomas ; Schneider, M.:
Holomorphic line bundles with partially vanishing cohomology.
In: Teicher, Mina , Bar-Ilan University (Hrsg.): Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry : May 2 - 7, 1993. - Ramat Gan, Israel , 1996 . - S. 165-198 . - (Israel Mathematics Conference Proceedings ; 9 )

Peternell, Thomas:
Manifolds of semi-positive curvature.
In: Catanese, Fabrizio ; Ciliberto, Ciro (Hrsg.): Transcendental Methods in Algebraic Geometry : Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Cetraro, Italy, July 4–12, 1994. - Cham : Springer Nature , 1996 . - S. 98-142 . - (Lecture Notes in Mathematics ; 1646 )
ISBN 978-3-540-49632-8
DOI: https://doi.org/10.1007/BFb0094303

Peternell, Thomas ; Oguiso, Keiji:
Semi-positivity and cotangent bundles.
In: Ancona, Vincenzo ; Ballico, Edoardo ; Silva, Allesandro (Hrsg.): Complex analysis and geometry : proceedings of the conference at Trento. - New York : Dekker , 1996 . - S. 349-368 . - (Lecture Notes in Pure and Applied Mathematics ; 173 )
ISBN 0-8247-9672-1

Peternell, Thomas ; Wilson, P. Μ. H.:
Threefolds with extremal Chern classes.
In: Andreatta, Marco ; Peternell, Thomas (Hrsg.): Higher Dimensional Complex Varieties : Proceedings of the International Conference held in Trento, Italy, June 15 - 24, 1994. - Berlin : Walter de Gruyter , 1996 . - S. 357-378 . - (De Gruyter Proceedings in Mathematics )
ISBN 978-3-11-081473-6
DOI: https://doi.org/10.1515/9783110814736.357

1995

Oguiso, Keiji ; Peternell, Thomas:
On polarized canonical Calabi-Yau threefolds.
In: Mathematische Annalen. Bd. 301 (1995) . - S. 237-248.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01446628

Peternell, Thomas ; Wiśniewski, Jarosław A.:
On stability of tangent bundles of Fano manifolds with b2=1.
In: Journal of Algebraic Geometry. Bd. 4 (1995) Heft 2 . - S. 363-384.
ISSN 1534-7486

1994

Demailly, Jean-Pierre ; Peternell, Thomas ; Schneider, Michael:
Compact complex manifolds with numerically effective tangent bundles.
In: Journal of Algebraic Geometry. Bd. 3 (1994) Heft 2 . - S. 295-345.
ISSN 1534-7486

Ancona, Vincenzo ; Peternell, Thomas ; Wiśniewski, Jarosław A.:
Fano bundles and splitting theorems on projective spaces and quadrics.
In: Pacific Journal of Mathematics. Bd. 163 (1994) Heft 1 . - S. 17-42.
ISSN 1945-5844
DOI: https://doi.org/10.2140/pjm.1994.163.17

Peternell, Thomas:
Minimal varieties with trivial canonical classes : I.
In: Mathematische Zeitschrift. Bd. 217 (1994) . - S. 377-405.
ISSN 1432-1823
DOI: https://doi.org/10.1007/BF02571950

Peternell, Thomas ; Schneider, Michael:
Neuere Entwicklungen in der Komplexen Geometrie.
In: Artin, Michael ; Kraft, Hanspeter ; Remmert, Reinhold (Hrsg.): Duration and change : fifty years at Oberwolfach. - Berlin : Springer , 1994 . - S. 275-306
ISBN 978-3-642-78502-3
DOI: https://doi.org/10.1007/978-3-642-78502-3_30

Campana, Frédéric ; Peternell, Thomas:
Rigidity theorems for primitive Fano 3-folds.
In: Communications in Analysis and Geometry. Bd. 2 (1994) Heft 2 . - S. 173-201.
ISSN 1944-9992
DOI: https://doi.org/10.4310/CAG.1994.v2.n2.a1

Grauert, Hans ; Peternell, Thomas ; Remmert, Reinhold:
Several Complex Variables VII : Sheaf-Theoretical Methods in Complex Analysis.
Berlin : Springer , 1994 . - VIII, 372 S. - (Encyclopaedia of Mathematical Sciences )
ISBN 978-3-662-09873-8

DOI: https://doi.org/10.1007/978-3-662-09873-8

1993

Campana, Frédéric ; Peternell, Thomas:
4-folds with numerically effective tangent bundles and second Betti numbers greater than one.
In: Manuscripta Mathematica. Bd. 79 (1993) . - S. 225-238.
ISSN 1432-1785
DOI: https://doi.org/10.1007/BF02568341

Demailly, Jean-Pierre ; Peternell, Thomas ; Schneider, Michael:
Kähler manifolds with numerically effective Ricci class.
In: Compositio Mathematica. Bd. 89 (1993) Heft 2 . - S. 217-240.
ISSN 1570-5846

Peternell, Thomas:
Tangent Bundles, Rational Curves, and the Geometry of Manifolds of Negative Kodaira Dimension.
In: Ancona, Vincenzo ; Silva, Alessandro (Hrsg.): Complex analysis and geometry. - New York, NY : Plenum Press , 1993 . - S. 293-310 . - (The University Series in Mathematics )
ISBN 978-1-4757-9771-8
DOI: https://doi.org/10.1007/978-1-4757-9771-8_12

1992

Peternell, Thomas ; Szurek, Michal ; Wiśniewski, Jarosław A.:
Fano manifolds and vector bundles.
In: Mathematische Annalen. Bd. 294 (1992) . - S. 151-165.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01934319

Peternell, Thomas ; Szurek, Michal ; Wiśniewski, Jarosław A.:
Numerically effective vector bundles with small Chern classes.
In: Hulek, Klaus ; Peternell, Thomas ; Schneider, Michael ; Schreyer, Frank-Olaf (Hrsg.): Complex Algebraic Varieties : Proceedings of a Conference held in Bayreuth, Germany, April 2–6, 1990. - Cham : Springer , 1992 . - S. 145-156 . - (Lecture Notes in Mathematics ; 1507 )
ISBN 978-3-540-46786-1
DOI: https://doi.org/10.1007/BFb0094516

Campana, Frédéric ; Peternell, Thomas:
On the second exterior power of tangent bundles of threefolds.
In: Compositio Mathematica. Bd. 83 (1992) Heft 3 . - S. 329-346.
ISSN 1570-5846

1991

Peternell, Thomas:
Ample vector bundles on fano manifolds.
In: International Journal of Mathematics. Bd. 2 (1991) Heft 3 . - S. 311-322.
ISSN 1793-6519
DOI: https://doi.org/10.1142/S0129167X91000181

Peternell, Thomas:
Calabi-Yau manifolds and a conjecture of Kobayashi.
In: Mathematische Zeitschrift. Bd. 207 (1991) . - S. 305-318.
ISSN 1432-1823
DOI: https://doi.org/10.1007/BF02571390

Peternell, Thomas ; Schneider, Michael:
Compactifications of ℂn : A survey.
In: Bedford, Eric (Hrsg.): Several complex variables and complex geometry, Part 2 : [proceedings of the Summer Research Institute on Several Complex Variables and Complex Geometry held at the University of California, Santa Cruz, Santa Cruz, California, July 10 - 30, 1989]. - Providence, RI : American Mathematical Society , 1991 . - S. 455-466 . - (Proceedings of Symposia in Pure Mathematics ; 52,2 )
ISBN 978-0-8218-9349-4

Peternell, Thomas:
Hodge-Kohomologie und Steinsche Mannigfaltigkeiten.
In: Diederich, Klas (Hrsg.): Complex Analysis : Dedicated to H. Grauert ; Proceedings of the International Workshop Wuppertal 1990. - Braunschweig : Vieweg , 1991 . - S. 235-246 . - (Aspects of Mathematics ; 1 )
ISBN 978-3-322-86856-5
DOI: https://doi.org/10.1007/978-3-322-86856-5_35

Campana, Frédéric ; Peternell, Thomas:
Projective manifolds whose tangent bundles are numerically effective.
In: Mathematische Annalen. Bd. 289 (1991) . - S. 169-187.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01446566

1990

Peternell, Thomas ; Campana, Frédéric:
Algebraicity of the ample cone of projective varieties.
In: Journal für die Reine und Angewandte Mathematik. (1990) Heft 407 . - S. 160-166.
ISSN 1435-5345
DOI: https://doi.org/10.1515/crll.1990.407.160

Peternell, Thomas:
A characterization of ℙ n by vector bundles.
In: Mathematische Zeitschrift. Bd. 205 (1990) . - S. 487-490.
ISSN 1432-1823
DOI: https://doi.org/10.1007/BF02571257

Peternell, Thomas:
Compactifications of ℂ3 : III.
In: Mathematische Zeitschrift. Bd. 205 (1990) . - S. 213-222.
ISSN 1432-1823
DOI: https://doi.org/10.1007/BF02571236

Kosarew, Siegmund ; Peternell, Thomas:
Formal cohomology, analytic cohomology and non-algebraic manifolds.
In: Compositio Mathematica. Bd. 74 (1990) Heft 3 . - S. 299-325.
ISSN 1570-5846

Decker, Wolfram ; Peternell, Thomas ; le Potier, Joseph ; Schneider, Michael:
Half-canonical surfaces in IP4.
In: Sommese, Andrew John ; Biancofiore, Aldo ; Livorni, Elvira Laura (Hrsg.): Algebraic Geometry : Proceedings of the International Conference held in L’Aquila, Italy, May 30–June 4, 1988. - Cham : Springer Nature , 1990 . - S. 91-110 . - (Lecture Notes in Mathematics ; 1417 )
ISBN 978-3-540-46934-6
DOI: https://doi.org/10.1007/BFb0083335

Barlet, Daniel ; Peternell, Thomas ; Schneider, Michael:
On two conjectures of Hartshorne's.
In: Mathematische Annalen. Bd. 286 (1990) . - S. 13-25.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01453563

1989

Peternell, Thomas:
Compactifications of ℂ3 : II.
In: Mathematische Annalen. Bd. 283 (1989) . - S. 121-137.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01457505

Peternell, Thomas:
Singular surfaces and the rigidity of ℙ3.
In: Manuscripta Mathematica. Bd. 63 (1989) . - S. 69-82.
ISSN 1432-1785
DOI: https://doi.org/10.1007/BF01173702

1988

Peternell, Thomas ; Schneider, Michael:
Compactifications of ℂ3 : I.
In: Mathematische Annalen. Bd. 280 (1988) . - S. 129-146.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01474185

1987

Peternell, Thomas ; le Potier, J. ; Schneider, M.:
Direct images of sheaves of differentials and the Atiyah class.
In: Mathematische Zeitschrift. Bd. 196 (1987) . - S. 75-85.
ISSN 1432-1823
DOI: https://doi.org/10.1007/BF01179269

Peternell, Thomas ; Le Potier, J. ; Schneider, Michael:
Vanishing theorems, linear and quadratic normality.
In: Inventiones Mathematicae. Bd. 87 (1987) Heft 3 . - S. 573-586.
ISSN 1432-1297
DOI: https://doi.org/10.1007/BF01389243

1986

Peternell, Thomas:
Algebraic structures on certain 3-folds.
In: Mathematische Annalen. Bd. 274 (1986) . - S. 133-156.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01458021

Peternell, Thomas:
Algebraicity criteria for compact complex manifolds.
In: Mathematische Annalen. Bd. 275 (1986) . - S. 653-672.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01459143

Peternell, Thomas:
On the rigidity problem for the complex projective space.
In: Barlet, Daniel , Société Mathematique de France (Hrsg.): Journées complexes 85 : [au Département de Mathématiques de l'Université de Nancy durant la période du 20 au 25 mai 85]; S.M.F.-C.N.R.S. - Nancy : Universite Nancy : Vandoeuvre les Nancy , 1986 . - 132 S. . - (Institut Elie Cartan ; 10 )
ISBN 2-9035-9409-0

Peternell, Thomas:
Rational curves in moisězon 3-folds.
In: Grauert, Hans (Hrsg.): Complex Analysis and Algebraic Geometry : Proceedings of a Conference held in Göttinqen, June 25 - July 2, 1985. - Cham : Springer Nature , 1986 . - S. 133-144 . - (Lecture Notes in Mathematics ; 1194 )
ISBN 978-3-540-39829-5
DOI: https://doi.org/10.1007/BFb0077000

1985

Peternell, Thomas:
Fast-positive Geradenbündel auf kompakten komplexen Mannigfaltigkeiten.
In: Journal für die Reine und Angewandte Mathematik. (1985) Heft 356 . - S. 119-139.
ISSN 1435-5345
DOI: https://doi.org/10.1515/crll.1985.356.119

Peternell, Thomas:
Der Kodairasche Verschwindungssatz auf streng pseudokonvexen Räumen : Teil 1.
In: Mathematische Annalen. Bd. 270 (1985) . - S. 87-96.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01455533

Peternell, Thomas:
Der Kodairasche Verschwindungssatz auf streng pseudokonvexen Räumen : Teil 2.
In: Mathematische Annalen. Bd. 270 (1985) . - S. 603-631.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01455307

Peternell, Thomas:
A rigidity theorem for ℙ3(ℂ).
In: Manuscripta Mathematica. Bd. 50 (1985) . - S. 397-428.
ISSN 1432-1785
DOI: https://doi.org/10.1007/BF01168838

1983

Peternell, Thomas:
Erratum et Addendum zu der Arbeit: Über exzeptionelle Mengen.
In: Manuscripta Mathematica. Bd. 42 (1983) . - S. 259-263.
ISSN 1432-1785
DOI: https://doi.org/10.1007/BF01169587

Peternell, Thomas:
Vektorraumbündel auf exzeptionellen Unterräumen.
In: Archiv der Mathematik. Bd. 40 (1983) . - S. 175-181.
ISSN 1420-8938
DOI: https://doi.org/10.1007/BF01192767

1982

Peternell, Thomas:
Über exzeptionelle Mengen.
In: Manuscripta Mathematica. Bd. 37 (1982) . - S. 19-26.
ISSN 1432-1785
DOI: https://doi.org/10.1007/BF01239942

Peternell, Thomas:
On strongly pseudo-convex Kähler manifolds.
In: Inventiones Mathematicae. Bd. 70 (1982) Heft 2 . - S. 157-168.
ISSN 1432-1297
DOI: https://doi.org/10.1007/BF01390726

Peternell, Thomas:
Vektorraumbündel in der Nähe von exzeptionellen Unterräumen : das Modulproblem.
In: Journal für die Reine und Angewandte Mathematik. (1982) Heft 336 . - S. 110-123.
ISSN 1435-5345
DOI: https://doi.org/10.1515/crll.1982.336.110

1981

Peternell, Thomas:
Vektorraumbündel in der Nähe von kompakten komplexen Unterräumen.
In: Mathematische Annalen. Bd. 257 (1981) . - S. 111-134.
ISSN 1432-1807
DOI: https://doi.org/10.1007/BF01450658