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

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

2011-12-14

arxiv.org/abs/1112.3097v1

Mathematics

Number Theory

Scientific paper

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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