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On the tangent space of the deformation functor of curves with automorphisms

Aristides Kontogeorgis
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Abstract

We provide a method to compute the dimension of the tangent space to the global infinitesimal deformation functor of a curve together with a subgroup of the group of automorphisms. The computational techniques we developed are applied to several examples including Fermat curves, $p$-cyclic covers of the affine line and to Lehr-Matignon curves.

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BibTeXRIS

Aristides Kontogeorgis. 2007-01-28. On the tangent space of the deformation functor of curves with automorphisms. https://arxiv.org/abs/math/0201194

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