Which quaternion algebras act on a modular abelian variety?

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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.
Math. Res. letters 15 (2008), 251-263. Misprint on Theorem 1.2 (ii) corrected

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Number Theory, Algebraic Geometry, 11G18, 14G35

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http://salesiana.dossiersoluciones.com/handle/123456789/159909

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612731
 http://arxiv.org/abs/math/0612731

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arXiv