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arxiv: 1003.2109 · v1 · submitted 2010-03-10 · 🧮 math.NT · math.AG

Detecting linear dependence on a simple abelian variety

classification 🧮 math.NT math.AG
keywords abelianbelongssimplevarietyalmostalreadydependencedetecting
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Let A be a geometrically simple abelian variety over a number field k, let X be a subgroup of A(k) and let P be an element of A(k). We prove that if P belongs to X modulo almost all primes of k then P already belongs to X.

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