On the flatness of models of certain Shimura varieties of PEL-type
Algebraic Geometry
2009-09-25 v1
Abstract
Consider a PEL-Shimura variety associated to a unitary group that splits over an unramified extension of Q_p. Rapoport and Zink have defined a model of the Shimura variety over the ring of integers of the completion of the reflex field at a place lying over p, with parahoric level structures at p. We show that this model is flat, as conjectured by Rapoport and Zink, and that its special fibre is reduced.
Keywords
Cite
@article{arxiv.math/9912064,
title = {On the flatness of models of certain Shimura varieties of PEL-type},
author = {U. Goertz},
journal= {arXiv preprint arXiv:math/9912064},
year = {2009}
}
Comments
41 pages, LaTeX