at Google ScholarTitle data
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.
ISSN 1435-5345
DOI: https://doi.org/10.1515/crelle-2021-0070
| Review: |
Project information
| Project title: |
Project's official title Project's id DFG programme DE 1442/5-1 Bayreuth DE 144/5-1 DFG grant SPP1786 SPP 1786 |
|---|---|
| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
We study Tannakian properties of the convolution product of perverse sheaves on elliptic curves. We establish that for certain sheaves with unipotent local monodromy over seven points the corresponding Tannaka group is isomorphic to G2. This monodromy approach generalizes a result of Katz on the existence of G2-motives in the middle cohomology of deformations of Beauville surfaces.
Further data
| Item Type: | Article in a journal |
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| Refereed: | Yes |
| Subject classification: | Mathematics Subject Classification Code: 14F08 (11G05 14H52) |
| Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory) > Chair Mathematics IV (Number Theorie) - Univ.-Prof. Dr. Michael Dettweiler |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 05 May 2023 11:52 |
| Last Modified: | 05 May 2023 11:53 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/76061 |