On the Krull Dimension of the deformation ring of curves with automorphisms

2005/04/06 by Aristides Kontogeorgis, Kontogeorgis, A.
Engineering · Mathematics · #14D15 #14H10 #14H37 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0504093

openalex publication_date 2005/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We reduce the study of the Krull dimension d of the deformation ring of the functor of deformations of curves with automorphisms to the study of the tangent space of the deformation functor of a class of matrix representations of the p-part of the decomposition groups at wild ramified points, and we give a method in order to compute d.

Citations

• Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic

Cited by

• Equiramified deformations of covers in positive characteristic

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