Polydifferentials and the deformation functor of curves with automorphisms II

Kontogeorgis Aristides

Polydifferentials and the deformation functor of curves with automorphisms II

Algebraic Geometry 2011-04-21 v3 Number Theory

Authors: Kontogeorgis Aristides

Abstract

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 $p^v$ .

Keywords

polydifferentials deformation functor curves with automorphisms galois module structure weakly ramified covers

Cite

@article{arxiv.math/0610982,
  title  = {Polydifferentials and the deformation functor of curves with automorphisms II},
  author = {Kontogeorgis Aristides},
  journal= {arXiv preprint arXiv:math/0610982},
  year   = {2011}
}

Comments

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

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