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arXiv · 1212.5883

On a generalization of Deuring's results

Ken-ichi Sugiyama
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Abstract

Using the Dieudonne theory we will study a reduction of an abelian variety of complex multiplication. Our results may be regarded as a generalization of a classical theorem due to Deuring for a CM-elliptic curve. We will also discuss a sufficient condition that is a proper smooth curve with CM to be maximal.

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Ken-ichi Sugiyama. 2013-10-15. On a generalization of Deuring's results. https://arxiv.org/abs/1212.5883

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