Non-existence of certain CM abelian varieties with prime power torsion

Published 14 Dec 2011 in math.NT | (1112.3097v1)

Abstract: In this paper, we study a conjecture of Rasmussen and Tamagawa, on the finiteness of the set of isomorphism classes of abelian varieties with constrained prime power torsion. Our result is related with abelian varieties which have complex multiplication over their fields of definition.

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Yoshiyasu Ozeki

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