On the tangent space of the deformation functor of curves with automorphisms
Abstract
Description
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.
33 pages, A gap in the proof of lemma 1.5 is filled
33 pages, A gap in the proof of lemma 1.5 is filled