Specializations of finitely generated subgroups of abelian varieties

David Masser

Type: Article

Publication Date: 1989-01-01

Citations: 35

DOI: https://doi.org/10.1090/s0002-9947-1989-0974783-6

Abstract

Given a generic Mordell-Weil group over a function field, we can specialize it down to a number field. It has been known for some time that the resulting homomorphism of groups is injective "infinitely often". We prove that this is in fact true "almost always", in a sense that is quantitatively nearly best possible.

Locations

Transactions of the American Mathematical Society - View - PDF

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