`Abstract' homomorphisms of l-adic Galois groups and Abelian varieties
| dc.creator | Wong, Siman | |
| dc.date | 2001-06-03 | |
| dc.date | 2001-07-04 | |
| dc.date.accessioned | 2026-07-07T04:41:58Z | |
| dc.date.available | 2026-07-07T04:41:58Z | |
| dc.description | Let $k$ be a totally real field, and let $A/k$ be an absolutely irreducible, polarized Abelian variety of odd, prime dimension whose endomorphisms are all defined over $k$. Then the only strictly compatible families of abstract, absolutely irreducible representations of $\gal(\ov{k}/k)$ coming from $A$ are tensor products of Tate twists of symmetric powers of two-dimensional $λ$-adic representations plus field automorphisms. The main ingredients of the proofs are the work of Borel and Tits on the `abstract' homomorphisms of almost simple algebraic groups, plus the work of Shimura on the fields of moduli of Abelian varieties. | |
| dc.description | Revision, with a new section | |
| dc.identifier | https://arxiv.org/abs/math/0106016 | |
| dc.identifier | http://arxiv.org/abs/math/0106016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61579 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary 11G5, 11G10; Secondary 11G15 | |
| dc.title | `Abstract' homomorphisms of l-adic Galois groups and Abelian varieties | |
| dc.type | text |