Non-existence of certain CM abelian varieties with prime power torsion
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2011
- DOI:
- 10.48550/arXiv.1112.3097
- arXiv:
- arXiv:1112.3097
- Bibcode:
- 2011arXiv1112.3097O
- Keywords:
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- Mathematics - Number Theory