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

Mathematics – Algebraic Geometry

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Scientific paper

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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