English

On a generalization of Deuring's results

Number Theory 2013-10-16 v6 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1212.5883,
  title  = {On a generalization of Deuring's results},
  author = {Ken-ichi Sugiyama},
  journal= {arXiv preprint arXiv:1212.5883},
  year   = {2013}
}
R2 v1 2026-06-21T22:59:43.311Z