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# Detecting linear dependence on a simple abelian variety

URN to cite this document:
urn:nbn:de:bvb:355-epub-146546
DOI to cite this document:
10.5283/epub.14654
Jossen, Peter
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Date of publication of this fulltext: 05 May 2010 07:50

## 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 ε A(k) be a rational point. We prove that if P belongs to X
modulo almost all primes of k then P already belongs to X.

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