A toroidal resolution for the bad reduction of some Shimura varieties
Algebraic Geometry
2007-05-23 v1
Abstract
Borrowing a reduction principle to a recent preprint of G. Faltings (toroidal resolution of some matrix singularities, 1999), we use Lafforgue's compactification of PGL_r^{N+1}/PGL_r to construct a canonical log-smooth toroidal resolution for the bad reduction in a prime p of Shimura varieties of unitary and symplectic type with parahoric level structures at p. Using this result, non-canonical semi-stable resolutions over Z_p[p^{1/\nu}] can be derived.
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Cite
@article{arxiv.math/9912054,
title = {A toroidal resolution for the bad reduction of some Shimura varieties},
author = {A. Genestier},
journal= {arXiv preprint arXiv:math/9912054},
year = {2007}
}
Comments
Plain TeX, 18 pages