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arXiv:math/0502261 [math.NT]AbstractReferencesReviewsResources

A refined counter-example to the support conjecture for abelian varieties

Michael Larsen, René Schoof

Published 2005-02-13Version 1

If A/K is an abelian variety over a number field and P and Q are rational points, the original support conjecture asserted that if the order of Q (mod p) divides the order of P (mod p) for almost all primes p of K, then Q is obtained from P by applying an endomorphism of A. This is now known to be untrue. In this note we prove that it is not even true modulo the torsion of A.

Comments: 3 pages
Categories: math.NT
Subjects: 11G10
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