The constant of the support problem for abelian varieties
Algebraic Geometry
2011-02-22 v2 Number Theory
Abstract
Let A be an abelian variety defined over a number field K and let P and Q be points in A(K) satisfying the following condition: for all but finitely many primes p of K, the order of (Q mod p) divides the order of (P mod p). Larsen proved that there exists a positive integer c such that cQ is in the End_K(A)-module generated by P. We study the minimal value of c and construct some refined counterexamples.
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Cite
@article{arxiv.1008.3719,
title = {The constant of the support problem for abelian varieties},
author = {Jeroen Demeyer and Antonella Perucca},
journal= {arXiv preprint arXiv:1008.3719},
year = {2011}
}
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