科研之友
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摘要
We give several generalizations of the Deuring reduction criterion for elliptic curves to abelian varieties of higher dimension. In particular, the Newton polygon of the reduction of an abelian variety A with complex multiplication (CM) by F at a prime above p can be explicitly computed in terms of the CM type of A and the decomposition group of a suitable prime above p in a Galois closure of F. Conversely, it is shown that the formal isogeny type of the reduction of A at a prime above p places certain restrictions on the decomposition of p in F.
- 出版日期2014-12
