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arXiv:math/0406273 [math.NT]AbstractReferencesReviewsResources

Homomorphisms of abelian varieties

Yuri G. Zarhin

Published 2004-06-14Version 1

We discuss Galois properties of points of prime order on an abelian variety that imply the simplicity of its endomorphism algebra. Applications to hyperelliptic jacobians are given. In particular, we improve some of our earlier results.

Comments: 23 pages, to appear in the Proceedings of ``Arithmetic, Geometry and Coding Theory - 9" conference (Luminy, May 2003)
Categories: math.NT, math.AG
Subjects: 14H40, 14K05, 11G30
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