中文

Local Models in the ramified case. III. Unitary groups

代数几何 2007-05-23 v1 数论

摘要

We continue our study of the reduction of PEL Shimura varieties with parahoric level structure at primes p at which the group that defines the Shimura variety ramifies. We describe "good" pp-adic integral models of these Shimura varieties and study their 'etale local structure. In this paper we mainly concentrate on the case of unitary groups for a ramified quadratic extension. Some of our results are applications of the theory of twisted affine flag varieties in our previous paper math.AG/0607130.

关键词

引用

@article{arxiv.math/0702286,
  title  = {Local Models in the ramified case. III. Unitary groups},
  author = {G. Pappas and M. Rapoport},
  journal= {arXiv preprint arXiv:math/0702286},
  year   = {2007}
}

备注

57 pages, 5 figures