Good and semi-stable reductions of Shimura varieties
Xuhua He, G. Pappas, Michael Rapoport
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.
Topics & Concepts
RamificationAbelian groupMathematicsPure mathematicsReduction (mathematics)Shimura varietyType (biology)GeometryBiologyPaleontologyModular formAlgebraic Geometry and Number TheoryAdvanced Algebra and GeometryNonlinear Waves and Solitons