Vol. 1, No. 2, 2007

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

Aristides Kontogeorgis

Vol. 1 (2007), No. 2, 119–161
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.

Keywords
automorphisms, curves, deformations
Mathematical Subject Classification 2000
Primary: 14H37
Secondary: 14D15, 14B10