A toroidal resolution for the bad reduction of some Shimura varieties

dc.creatorGenestier, A.
dc.date1999-12-07
dc.date.accessioned2026-07-07T05:32:10Z
dc.date.available2026-07-07T05:32:10Z
dc.descriptionBorrowing 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.
dc.descriptionPlain TeX, 18 pages
dc.identifierhttps://arxiv.org/abs/math/9912054
dc.identifierhttp://arxiv.org/abs/math/9912054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79561
dc.subjectAlgebraic Geometry
dc.subject14G35, 11G18, 14M35
dc.titleA toroidal resolution for the bad reduction of some Shimura varieties
dc.typetext

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