论文标题

阿贝尔人品种降低了

Abelian varieties with isogenous reductions

论文作者

Khare, Chandrashekhar B., Larsen, Michael

论文摘要

如果a和b是一个数字k上的阿贝尔品种,因此大多数k的大多数a和b的降低a和b之间存在非平凡的几何同态,那么存在非k. b的非平地(几何)同质(几何)同质性。

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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