Institutionen der Universität Bayreuth
Lehrstuhl Mathematik VIII (Algebraische Geometrie) - Univ.-Prof. Dr. Fabrizio Catanese

Catanese, Fabrizio:
General birationality and hyperelliptic theta divisors.
In: Annali di Matematica Pura ed Applicata. Bd. 204 (2025) . - S. 53-71.
DOI: https://doi.org/10.1007/s10231-024-01473-9

Bauer, Ingrid ; Catanese, Fabrizio:
σ₅-equivariant syzygies for the Del Pezzo surface of degree 5.
In: Rendiconti del Circolo Matematico di Palermo Series 2. Bd. 70 (2021) Heft 1 . - S. 97-120.
DOI: https://doi.org/10.1007/s12215-020-00483-9

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Bauer, Ingrid ; Catanese, Fabrizio:
Del Pezzo surfaces, rigid line configurations and Hirzebruch-Kummer coverings.
In: Bollettino dell'Unione Matematica Italiana. Bd. 12 (2019) . - S. 43-62.
DOI: https://doi.org/10.1007/s40574-018-0169-x

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Bauer, Ingrid ; Catanese, Fabrizio:
On rigid compact complex surfaces and manifolds.
In: Advances in Mathematics. Bd. 333 (2018) . - S. 620-669.
DOI: https://doi.org/10.1016/j.aim.2018.05.041

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Bauer, Ingrid ; Catanese, Fabrizio ; Di Scala, Antonio José:
Higher dimensional lemniscates : the geometry of r particles in n-space with logarithmic potentials.
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. Bd. 17 (2017) Heft 3 . - S. 1091-1119.
DOI: https://doi.org/10.2422/2036-2145.201508_001

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Catanese, Fabrizio ; Lönne, Michael ; Perroni, Fabio:
Genus stabilization for the components of moduli spaces of curves with symmetries.
In: Algebraic Geometry. Bd. 3 (2016) Heft 1 . - S. 23-49.
DOI: https://doi.org/10.14231/AG-2016-002

Bauer, Ingrid ; Catanese, Fabrizio ; Grunewald, Fritz:
Faithful actions of the absolute Galois group on connected components of moduli spaces.
In: Inventiones Mathematicae. Bd. 199 (2015) Heft 3 . - S. 859-888.
DOI: https://doi.org/10.1007/s00222-014-0531-2

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Bauer, Ingrid ; Catanese, Fabrizio ; Frapporti, Davide:
Generalized Burniat type surfaces and Bagnera-de Franchis varieties.
In: Journal of Mathematical Sciences / The University of Tokyo. Bd. 22 (2015) Heft 1 . - S. 55-111.

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Catanese, Fabrizio ; Lönne, Michael ; Perroni, Fabio:
The irreducible components of the moduli space of dihedral covers of algebraic curves.
In: Groups, Geometry, and Dynamics. Bd. 9 (2015) Heft 4 . - S. 1185-1229.
DOI: https://doi.org/10.4171/GGD/338

Catanese, Fabrizio ; Dettweiler, Michael:
The direct image of the relative dualizing sheaf needs not be semiample : L'image directe du faisceau dualisant relatif n'est pas nécessairement semi-ample.
In: Comptes Rendus Mathematique. Bd. 352 (2014) Heft 3 . - S. 241-244.
DOI: https://doi.org/10.1016/j.crma.2013.12.015

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Bauer, Ingrid ; Catanese, Fabrizio:
Erratum to: Burniat surfaces II: secondary Burniat surfaces form three connected components of the moduli space.
In: Inventiones Mathematicae. Bd. 197 (2014) Heft 1 . - S. 237-240.
DOI: https://doi.org/10.1007/s00222-014-0526-z

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Bauer, Ingrid ; Catanese, Fabrizio:
Burniat surfaces III: deformations of automorphisms and extended Burniat surfaces.
In: Documenta Mathematica. Bd. 18 (2013) . - S. 1089-1136.

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Bauer, Ingrid ; Catanese, Fabrizio:
Burniat-type surfaces and a new family of surfaces with pg=0,K²=3.
In: Rendiconti del Circolo Matematico di Palermo Series 2. Bd. 62 (2013) Heft 1 . - S. 37-60.
DOI: https://doi.org/10.1007/s12215-013-0108-8

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Bauer, Ingrid ; Catanese, Fabrizio ; Grunewald, Fritz ; Pignatelli, Roberto:
Quotients of products of curves, new surfaces with pg=0 and their fundamental groups.
In: American Journal of Mathematics. Bd. 134 (2012) Heft 4 . - S. 993-1049.
DOI: https://doi.org/10.1353/ajm.2012.0029

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Bauer, Ingrid ; Catanese, Fabrizio:
The moduli space of Keum-Naie surfaces.
In: Groups, Geometry, and Dynamics. Bd. 5 (2011) Heft 2 . - S. 231-250.
DOI: https://doi.org/10.4171/GGD/125

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Bauer, Ingrid ; Catanese, Fabrizio:
Burniat surfaces II: Secondary Burniat surfaces form three connected components of the moduli space.
In: Inventiones Mathematicae. Bd. 180 (2010) Heft 3 . - S. 559-588.
DOI: https://doi.org/10.1007/s00222-010-0237-z

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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.
DOI: https://doi.org/10.1215/0023608X-2010-013

Bauer, Ingrid ; Catanese, Fabrizio ; Grunewald, Fritz:
The classification of surfaces with pg=q=0 isogenous to a product of curves.
In: Pure and Applied Mathematics Quarterly. Bd. 4 (2008) Heft 2 . - S. 547-586.
DOI: https://doi.org/10.4310/PAMQ.2008.v4.n2.a10

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Bauer, Ingrid ; Catanese, Fabrizio:
A volume maximizing canonical surface in 3-space.
In: Commentarii Mathematici Helvetici. Bd. 83 (2008) Heft 2 . - S. 387-406.
DOI: https://doi.org/10.4171/CMH/129

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Bauer, Ingrid ; Catanese, Fabrizio ; Grunewald, Fritz:
Chebycheff and Belyi polynomials, dessins d'enfants, Beauville surfaces and group theory.
In: Mediterranean Journal of Mathematics. Bd. 3 (2006) Heft 2 . - S. 121-146.
DOI: https://doi.org/10.1007/s00009-006-0069-7

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Bauer, Ingrid ; Catanese, Fabrizio ; Pignatelli, Roberto:
The moduli space of surfaces with K²=6 and pg=4.
In: Mathematische Annalen. Bd. 336 (2006) Heft 2 . - S. 421-438.
DOI: https://doi.org/10.1007/s00208-006-0008-8

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Bauer, Ingrid ; Catanese, Fabrizio:
Symmetry and variation of Hodge structures.
In: Asian Journal of Mathematics. Bd. 8 (2004) Heft 2 . - S. 363-390.

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Bauer, Ingrid ; Catanese, Fabrizio:
Generic lemniscates of algebraic functions.
In: Mathematische Annalen. Bd. 307 (1997) Heft 3 . - S. 417-444.
DOI: https://doi.org/10.1007/s002080050042

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Bauer, Ingrid ; Catanese, Fabrizio ; Frapporti, Davide:
The fundamental group and torsion group of Beauville surfaces.
In: Bauer, Ingrid ; Garion, Shelly ; Vdovina, Alina (Hrsg.): Beauville surfaces and groups. - Cham : Springer, 2015 . - S. 1-14 . - (Springer Proceedings in Mathematics & Statistics ; 123 )
DOI: https://doi.org/10.1007/978-3-319-13862-6_1

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Bauer, Ingrid ; Catanese, Fabrizio:
Inoue type manifolds and Inoue surfaces : a connected component of the moduli space of surfaces with K²=7, pg=0.
In: Faber, Carel ; Farkas, Gavril ; de Jong, Robin (Hrsg.): Geometry and arithmetic. - Zürich : European Mathematical Society, 2012 . - S. 23-56
DOI: https://doi.org/10.4171/119-1/2

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Bauer, Ingrid ; Catanese, Fabrizio:
Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces.
In: Faber, Carel ; van der Geer, Gerard ; Looijenga, Eduard (Hrsg.): Classification of algebraic varieties. - Zürich : European Mathematical Society, 2011 . - S. 49-76
DOI: https://doi.org/10.4171/007-1/3

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Bauer, Ingrid ; Catanese, Fabrizio ; Pignatelli, Roberto:
Surfaces of general type with geometric genus zero : a survey.
In: Ebeling, Wolfgang ; Hulek, Klaus ; Smoczyk, Knut (Hrsg.): Complex and differential geometry. - Berlin : Springer, 2011 . - S. 1-48 . - (Springer Proceedings in Mathematics ; 8 )
DOI: https://doi.org/10.1007/978-3-642-20300-8_1

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Catanese, Fabrizio ; Lönne, Michael ; Wajnryb, Bronislaw:
Moduli spaces of surfaces and monodromy invariants.
In: Akbulut, Selman ; Auroux, Denis ; Önder, Turgut (Hrsg.): Proceedings of the Gökova Geometry Topology Conference 2009. - Somerville, Mass. : International Press, 2010 . - S. 58-98

Bauer, Ingrid ; Catanese, Fabrizio:
The rationality of certain moduli spaces of curves of genus 3.
In: Bogomolov, Fedor ; Tschinkel, Yuri (Hrsg.): Cohomological and geometric approaches to rationality problems. - Boston : Birkhäuser, 2010 . - S. 1-16 . - (Progress in Mathematics ; 282 )
DOI: https://doi.org/10.1007/978-0-8176-4934-0_1

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Bauer, Ingrid ; Catanese, Fabrizio ; Pignatelli, Roberto:
Complex surfaces of general type : some recent progress.
In: Catanese, Fabrizio ; Esnault, Hélène ; Huckleberry, Alan T. ; Hulek, Klaus ; Peternell, Thomas (Hrsg.): Global aspects of complex geometry. - Berlin : Springer, 2006 . - S. 1-58
DOI: https://doi.org/10.1007/3-540-35480-8_1

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Bauer, Ingrid ; Catanese, Fabrizio ; Grunewald, Fritz:
Beauville surfaces without real structures.
In: Bogomolov, Fedor ; Tschinkel, Yuri (Hrsg.): Geometric methods in algebra and number theory. - Boston : Birkhäuser, 2005 . - S. 1-42 . - (Progress in Mathematics ; 235 )
DOI: https://doi.org/10.1007/0-8176-4417-2_1

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Bauer, Ingrid ; Catanese, Fabrizio:
Some new surfaces with pg=q=0.
In: The Fano Conference. - Torino : Univ. di Torino, Dipartamento di Matematica, 2004 . - S. 123-142

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Bauer, Ingrid ; Catanese, Fabrizio ; Pignatelli, Roberto:
Canonical rings of surfaces whose canonical system has base points.
In: Bauer, Ingrid ; Catanese, Fabrizio ; Peternell, Thomas ; Kawamata, Yujiro ; Siu, Yum-Tong (Hrsg.): Complex geometry : Collection of Papers Dedicated to Hans Grauert. - Berlin : Springer, 2002 . - S. 37-72
DOI: https://doi.org/10.1007/978-3-642-56202-0_3

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Bauer, Ingrid ; Catanese, Fabrizio ; Grunewald, Fritz:
The absolute Galois group acts faithfully on the connected components of the moduli space of surfaces of general type.
Bayreuth , 2007 . - 13 S.

Demleitner, Andreas:
On Hyperelliptic Manifolds.
Bayreuth , 2020 . - III, 192 S.
( Dissertation, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00005068

Cesarano, Luca:
Canonical Surfaces and Hypersurfaces in in Abelian Varieties.
Bayreuth , 2018 . - XIV, 75 S.
( Dissertation, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Ling, Songbo:
Classification and Moduli Spaces of Surfaces of General Type with Pg = q =1.
Bayreuth , 2017 . - 53 S.
( Dissertation, 2017 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Gleißner, Christian:
Threefolds Isogenous to a Product and Product quotient Threefolds with Canonical Singularities.
Bayreuth , 2016 . - XVI,100 S.
( Dissertation, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Li, Binru:
Moduli spaces of varieties with symmetries.
Bayreuth , 2016 . - 72 S.
( Dissertation, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Thäter, Markus:
Die Platonischen Körper und ihre Symmetriegruppen.
2010 . - 63 S.
(Zulassungsarbeit, 2011 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Mathematik VIII)

Thäter, Markus:
Globale Eigenschaften von differenzierbaren Kurven.
2012 . - 60 S.
( Bachelorarbeit, 2013 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Mathematik VIII)