Schneider, Kirsten (2004) Images of two-dimensional motivic Galois representations. MANUSCRIPTA MATHEMATICA, 113 (3). pp. 293-306. ISSN 0025-2611, 1432-1785
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Let M be a two-dimensional motive which is pure of weight w over a number field K and let (phi(l): G(K)-->Aut(H-l(M))(l) be the system of the l-adic realizations. Choose G(K)-invariant Z(l)-lattices T-l of H-l(M) and let (phi(l): G(K)-->GL(T-l))(l) be the corresponding system of integral representations. Then either for almost all primes phi(l)(G(K)) consist of all the elements of GL(T-l) with determinant in (Z*(l))(-w) or the system (phi(l)) is associated to algebraic Hecke characters. We also can prove an adelic version of our results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | VARIETIES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Jul 2021 11:23 |
| Last Modified: | 21 Jul 2021 11:23 |
| URI: | https://pred.uni-regensburg.de/id/eprint/37945 |
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