Detecting linear dependence on a simple abelian variety

Details Detecting linear dependence on a simple abelian variety Detecting linear dependence on a simple abelian variety

2010-03-10

arxiv.org/abs/1003.2109v1

Mathematics

Number Theory

24 pages

Scientific paper

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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