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

A. Kontogeorgis
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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.

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BibTeXRIS

A. Kontogeorgis. 2006-09-28. On the Krull Dimension of the deformation ring of curves with automorphisms. https://arxiv.org/abs/math/0504093

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