论文标题
阿贝尔人品种降低了
Abelian varieties with isogenous reductions
论文作者
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.