On finiteness conjectures for modular quaternion algebras

It is conjectured that there exist only finitely many isomorphism classes of endomorphism algebras of abelian varieties of bounded dimension over a number field of bounded degree. We explore this conjecture when restricted to quaternion endomorphism algebras of abelian surfaces of GL$_2$-type over Q...

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Bibliographic Details
Main Authors: Bruin, N, Flynn, E, González, J, Rotger, V
Format: Journal article
Published: 2006