On finiteness conjectures for endomorphism algebras of abelian surfaces

It is conjectured that there exist finitely many isomorphism classes of simple endomorphism algebras of abelian varieties of GL_2-type over \Q of bounded dimension. We explore this conjecture when particularized to quaternion endomorphism algebras of abelian surfaces by giving a moduli interpretatio...

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Bibliographic Details
Main Authors: Bruin, N, Flynn, E, Gonzalez, J, Rotger, V
Format: Journal article
Published: 2003