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arXiv 2002-11-06 0 views

The support problem for abelian varieties

Larsen, Michael

Original · EN

Let A be an abelian variety over a number field K. If P and Q are K-rational points of A such that the order of the reduction of Q divides that of P for all but finitely many primes of the ring of integers of K, then there exists a K-endomorphism ϕ of A and a positive integer k such that kQ = ϕ(P).

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