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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122703We 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 filledAlgebraic Geometry14H37 14B99On the tangent space of the deformation functor of curves with automorphismstext