Institutions of the University of Bayreuth
Chair Mathematics IV (Number Theory)

Jakob, Konstantin:
Wildly ramified rigid G2-local systems.
In: Bulletin of the London Mathematical Society. Vol. 55 (2023) Issue 5 . - pp. 2539-2556.
DOI: https://doi.org/10.1112/blms.12881

Collas, Benjamin ; Dettweiler, Michael ; Reiter, Stefan ; Sawin, Will:
Monodromy of elliptic curve convolution, seven-point sheaves of G₂-type, and motives of Beauville type.
In: Journal für die Reine und Angewandte Mathematik. (2022) Issue 784 . - pp. 1-26.
DOI: https://doi.org/10.1515/crelle-2021-0070

Review:

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Jakob, Konstantin:
Classification of rigid irregular G2-connections.
In: Proceedings of the London Mathematical Society. Vol. 120 (2020) Issue 6 . - pp. 831-852.
DOI: https://doi.org/10.1112/plms.12308

Dettweiler, Michael ; Reiter, Stefan:
On the Hodge Theory of the Additive Middle Convolution.
In: Publications of the Research Institute for Mathematical Sciences : Ky¯oto-daigaku-s¯uri-kaiseki-kenky¯usho-kiy¯o. Vol. 56 (2020) . - pp. 503-537.
DOI: https://doi.org/10.4171/prims/56-3-3

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Dettweiler, Michael ; Sabbah, Claude:
Erratum to Hodge Theory of the Middle Convolution.
In: Publications of the Research Institute for Mathematical Sciences : Ky¯oto-daigaku-s¯uri-kaiseki-kenky¯usho-kiy¯o. Vol. 54 (2018) Issue 2 . - pp. 427-431.
DOI: https://doi.org/10.4171/prims/54-2-8

Dettweiler, Michael ; Schmidt, Johannes:
Rigid G₂-representations and motives of type G₂.
In: Israel Journal of Mathematics. Vol. 212 (2016) Issue 1 . - pp. 81-106.
DOI: https://doi.org/10.1007/s11856-016-1295-8

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Dettweiler, Michael ; Catanese, Fabrizio:
Vector bundles on curves coming from variation of Hodge structures.
In: International Journal of Mathematics. Vol. 27 (2016) Issue 7 . - 1640001.
DOI: https://doi.org/10.1142/S0129167X16400012

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Collas, Benjamin ; Maugeais, Sylvain:
Composantes irréductibles de lieux spéciaux d’espaces de modules de courbes, action galoisienne en genre quelconque.
In: Annales de l'Institut Fourier. Vol. 65 (2015) Issue 1 . - pp. 245-276.
DOI: https://doi.org/10.5802/aif.2930

Reiter, Stefan:
Halphen's transform and middle convolution.
In: Journal für die Reine und Angewandte Mathematik. (2015) Issue 704 . - pp. 1-20.
DOI: https://doi.org/10.1515/crelle-2013-0048

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Dettweiler, Michael ; Reiter, Stefan:
The classification of orthogonally rigid G₂-local systems and related differential operators.
In: Transactions of the American Mathematical Society. Vol. 366 (2014) Issue 11 . - pp. 5821-5851.
DOI: https://doi.org/10.1090/S0002-9947-2014-06042-X

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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. Vol. 352 (2014) Issue 3 . - pp. 241-244.
DOI: https://doi.org/10.1016/j.crma.2013.12.015

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Dettweiler, Michael ; Sabbah, Claude:
Hodge theory of the middle convolution.
In: Publications of the Research Institute for Mathematical Sciences : Ky¯oto-daigaku-s¯uri-kaiseki-kenky¯usho-kiy¯o. Vol. 49 (2013) Issue 4 . - pp. 761-800.
DOI: https://doi.org/10.4171/PRIMS/119

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Bogner, Michael ; Reiter, Stefan:
On symplectically rigid local systems of rank four and Calabi-Yau operators.
In: Journal of Symbolic Computation. Vol. 48 (2013) . - pp. 64-100.
DOI: https://doi.org/10.1016/j.jsc.2011.11.007

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Amram, Meirav ; Dettweiler, Michael ; Teicher, Mina:
On rigid covers associated to the three-cuspidal quartic.
In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. Vol. 80 (2010) . - pp. 1-8.
DOI: https://doi.org/10.1007/s12188-009-0033-0

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Dettweiler, Michael ; Reiter, Stefan:
Rigid local systems and motives of type G₂.
In: Compositio Mathematica. Vol. 146 (2010) Issue 4 . - pp. 929-963.
DOI: https://doi.org/10.1112/S0010437X10004641

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Dettweiler, Michael ; Reiter, Stefan:
On globally nilpotent differential equations.
In: Journal of Differential Equations. Vol. 248 (2010) Issue 11 . - pp. 2736-2745.
DOI: https://doi.org/10.1016/j.jde.2010.02.009

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Amram, Meirav ; Dettweiler, Michael ; Friedman, Michael ; Teicher, Mina:
The fundamental group for the complement of Cayley's singularities.
In: Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry. Vol. 50 (2009) Issue 2 . - pp. 469-482.

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Dettweiler, Michael ; Reiter, Stefan:
Middle convolution of Fuchsian systems and the construction of rigid differential systems.
In: Journal of Algebra. Vol. 318 (2007) Issue 1 . - pp. 1-24.
DOI: https://doi.org/10.1016/j.jalgebra.2007.08.029

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Dettweiler, Michael ; Reiter, Stefan:
Painlevé equations and the middle convolution.
In: Advances in Geometry. Vol. 7 (2007) Issue 3 . - pp. 317-330.
DOI: https://doi.org/10.1515/ADVGEOM.2007.019

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Dettweiler, Michael ; Wewers, Stefan:
Variation of local systems and parabolic cohomology.
In: Israel Journal of Mathematics. Vol. 156 (2006) . - pp. 157-185.
DOI: https://doi.org/10.1007/BF02773830

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Dettweiler, Michael ; Wewers, Stefan:
Variation of parabolic cohomology and poincaré duality.
In: Séminaires et Congrès. Vol. 13 (2006) . - pp. 145-164.

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Dettweiler, Michael:
Plane curve complements and curves on Hurwitz spaces.
In: Journal für die Reine und Angewandte Mathematik. (2004) Issue 573 . - pp. 19-43.
DOI: https://doi.org/10.1515/crll.2004.060

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Dettweiler, Michael ; Kühn, Ulf ; Reiter, Stefan:
On Galois representations via Siegel modular forms of genus two.
In: Mathematical Research Letters. Vol. 8 (2001) Issue 4 . - pp. 577-588.
DOI: https://doi.org/10.4310/MRL.2001.v8.n4.a16

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Dettweiler, Michael ; Reiter, Stefan:
An algorithm of Katz and its application to the inverse Galois problem.
In: Journal of Symbolic Computation. Vol. 30 (2000) Issue 6 . - pp. 761-798.
DOI: https://doi.org/10.1006/jsco.2000.0382

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Dettweiler, Michael ; Reiter, Stefan:
On rigid tuples in linear groups of odd dimension.
In: Journal of Algebra. Vol. 222 (1999) Issue 2 . - pp. 550-560.
DOI: https://doi.org/10.1006/jabr.1999.8032

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Catanese, Fabrizio ; Dettweiler, Michael:
Answer to a question by Fujita on Variation of Hodge Structures.
In: Oguiso, Keiji ; Birkar, Caucher ; Ishii, Shihoko ; Takayama, Shigeharu (ed.): Higher Dimensional Algebraic Geometry : In Honor of Professor Yujiro Kawamata's sixtieth Birthday. - Tokyo : Mathematical Society of Japan, 2017 . - pp. 73-102 . - (Advanced Studies in Pure Mathematics ; 74 )
DOI: https://doi.org/10.2969/aspm/07410073

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Dettweiler, Michael ; Jöllenbeck, Mirjam:
Monodromy of the Multiplicative and the Additive Convolution.
In: Böckle, Gebhard ; Decker, Wolfram ; Malle, Gunter (ed.): Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. - Cham : Springer, 2017 . - pp. 177-197
DOI: https://doi.org/10.1007/978-3-319-70566-8_7

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Dettweiler, Michael:
Construction of relative motives with interesting étale realization using the middle convolution.
In: Tschinkel, Yuri (ed.): Seminars Summer Term 2004. - Göttingen : Univ.-Verl. Göttingen, 2004 . - pp. 1-7 . - (Universitätsdrucke Göttingen )

Dettweiler, Michael:
Middle Convolution and Galois Realizations.
In: Hashimoto, Ki-ichiro ; Miyake, Katsuya ; Nakamura, Hiroaki (ed.): Galois Theory and Modular Forms. - Boston, MA : Springer, 2004 . - pp. 143-158 . - (Developments in Mathematics ; 11 )
DOI: https://doi.org/10.1007/978-1-4613-0249-0_7

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Dettweiler, Michael ; Reiter, Stefan:
On Galois realizations of special linear groups.
arXiv , 2023
DOI: https://doi.org/10.48550/arXiv.2309.14115

Amram, Meirav ; Dettweiler, Michael ; Reiter, Stefan:
Monodromy of the Radon transform.
arXiv , 2023
DOI: https://doi.org/10.48550/arXiv.2308.02379

Tenzler, Julian:
Fourier-Deligne transformation of perverse sheaves and the change of Frobenius traces under the Katz algorithm.
Bayreuth , 2020 . - 110 p.
( Doctoral thesis, 2020 , Universität Bayreuth, Bayreuther Graduiertenschule für Mathematik und Naturwissenschaften - BayNAT)
DOI: https://doi.org/10.15495/EPub_UBT_00004633

Jakob, Konstantin:
Rigid Irregular Connections and Wildly Ramified l-adic Local Systems of Type G2.
Bayreuth , 2018 . - 125 p.
( Doctoral thesis, 2017 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Meyer, Harald:
Konjugationsklassensummen in endlichen Gruppenringen.
Bayreuth : Mathemat. Inst. der Univ. Bayreuth , 2002 . - VIII, 160 p. - (Bayreuther Mathematische Schriften ; 66 )
( Doctoral thesis, 2002 , Universität Bayreuth, Fakultät für Mathematik und Physik)

Nörenberg, Rainer:
Minimal-vollkonvexe Mengen in volltrennenden Strahlenkategorien.
1993 . - 115 p.
( Doctoral thesis, 1993 , Universität Bayreuth, Fakultät für Mathematik und Physik)

Geiß, Christof:
Tame distributive algebras and related topics.
1993 . - 42 S.
( Doctoral thesis, 1993 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)