Which quaternion algebras act on a modular abelian variety?
| dc.creator | Rotger, Victor | |
| dc.date | 2006-12-23 | |
| dc.date | 2008-04-29 | |
| dc.date.accessioned | 2026-07-07T09:35:41Z | |
| dc.date.available | 2026-07-07T09:35:41Z | |
| dc.description | Let A be a modular abelian variety over \Q of arbitrary even dimension. We establish criteria to prevent a given quaternion algebra over a totally real number field to be the endomorphism algebra of A over \bar\Q. We accomplish this by analyzing the representation of Gal(\bar\Q /\Q) on the points of N-torsion of A at primes N which ramify in B. | |
| dc.description | Math. Res. letters 15 (2008), 251-263. Misprint on Theorem 1.2 (ii) corrected | |
| dc.identifier | https://arxiv.org/abs/math/0612731 | |
| dc.identifier | http://arxiv.org/abs/math/0612731 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159909 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G18, 14G35 | |
| dc.title | Which quaternion algebras act on a modular abelian variety? | |
| dc.type | text |