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

Yoshiyasu Ozeki

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arXiv · 1112.3097

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

Yoshiyasu Ozeki

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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. 2011-12-14. Non-existence of certain CM abelian varieties with prime power torsion. https://arxiv.org/abs/1112.3097

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