Abelian varieties with isogenous reductions

Chandrashekhar B. Khare; Michael Larsen

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arXiv · 2009.01435

Abelian varieties with isogenous reductions

Chandrashekhar B. Khare·Michael Larsen

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Abstract

If A and B are abelian varieties over a number field K such that there are non-trivial geometric homomorphisms of abelian varieties between reductions of A and B at most primes of K, then there exists a non-trivial (geometric) homomorphism from A to B defined over an algebraic closure of K.

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Chandrashekhar B. Khare, Michael Larsen. 2020-10-06. Abelian varieties with isogenous reductions. https://arxiv.org/abs/2009.01435

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