A toroidal resolution for the bad reduction of some Shimura varieties

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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/ν}] can be derived.
Plain TeX, 18 pages

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Algebraic Geometry, 14G35, 11G18, 14M35

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http://salesiana.dossiersoluciones.com/handle/123456789/79561

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9912054
 http://arxiv.org/abs/math/9912054

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arXiv