at Google ScholarTitle data
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.
ISSN 1565-8511
DOI: https://doi.org/10.1007/s11856-016-1295-8
| Review: |
Official URL: 
Project information
| Project title: |
Project's official title Project's id 1. Konstruktion exzeptioneller Motive 2. Faltungsmotive und das Umkehrproblem der Galoistheorie 3. De Rham- und Hodge-Theorie der Faltung 4. Langlands-Korrespondenz und die Faltung 25046103 FOR 1920: Symmetrie, Geometrie und Arithmetik 221264088 |
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| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
We consider a family of motives associated to the rigid local system whose monodromy is dense in the simple algebraic group of type G2 and which has a local monodromy of order 7 at ∞. We prove an explicit Hilbert irreduciblity theorem for the associated étale realizations and deduce that the specialized motives at the points of irreducibility have motivic Galois group G2.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| 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 10:13 |
| Last Modified: | 04 Sep 2025 12:08 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/75960 |