Polydifferentials and the deformation functor of curves with automorphisms II

Details Polydifferentials and the deformation functor of curves with automorphisms II Polydifferentials and the deformation functor of curves with automorphisms II

2006-10-31

arxiv.org/abs/math/0610982v3

Mathematics

Algebraic Geometry

This is an old version of the article. For a new and expanded version see http://arxiv.org/abs/1104.3539

Scientific paper

We apply the known results on the Galois module structure of the sheaf of
polydifferentials in order to study the dimension of the tangent space of the
deformation functor of curves with automorphisms. We are able to find the
dimension for the case of weakly ramified covers and for the case of the action
of a cyclic group of order $p^v$.

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