Homomorphisms of abelian varieties

Details Homomorphisms of abelian varieties Homomorphisms of abelian varieties

2004-06-14

arxiv.org/abs/math/0406273v1

Mathematics

Number Theory

23 pages, to appear in the Proceedings of ``Arithmetic, Geometry and Coding Theory - 9" conference (Luminy, May 2003)

Scientific paper

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.

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