Detecting linear dependence on a simple abelian variety
Number Theory
2010-03-11 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.1003.2109,
title = {Detecting linear dependence on a simple abelian variety},
author = {Peter Jossen},
journal= {arXiv preprint arXiv:1003.2109},
year = {2010}
}
Comments
24 pages