Good and semi-stable reductions of Shimura varieties
Algebraic Geometry
2020-03-16 v4 Number Theory
Representation Theory
Abstract
We study variants of the local models constructed by the second author and Zhu and consider corresponding integral models of Shimura varieties of abelian type. We determine all cases of good, resp. of semi-stable, reduction under tame ramification hypotheses.
Keywords
Cite
@article{arxiv.1804.09615,
title = {Good and semi-stable reductions of Shimura varieties},
author = {X. He and G. Pappas and M. Rapoport},
journal= {arXiv preprint arXiv:1804.09615},
year = {2020}
}
Comments
66 pages, some more corrections and additions, to appear in JEP