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Formal deformation of curves with group scheme action

2002/12/10 by Stefan Wewers, Wewers, Stefan
Mathematics · #11G20 #14H30 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G20 #msc:14H30

paper · pdf · doi:10.48550/arxiv.math/0212145

44 pages, revised version

arxiv created 2004/09/28 · arxiv updated 2009/11/30

Abstract

We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.

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