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Density measure of rational points on Abelian varieties

Density measure of rational points on Abelian varieties

Abstract Let be a simple Abelian variety of dimension g over โ„š, and let โ„“ be the rank of the Mordell-Weil group (โ„š). Assume โ„“ โ‰ฅ 1. A conjecture of Mazur asserts that the closure of (โ„š) into (โ„) for the real topology contains the neutral component (โ„) 0 of โ€ฆ