A homological approach for computing the tangent space of the deformation functor of curves with automorphisms

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69702We give an alternative approach to the computation of the dimension of the tangent space of the deformation space of curves with automorphisms. A homological version of the local-global principle similar to the one of J.Bertin, A. Mézard is proved, and a computation in the case of ordinary curves is obtained, by application of the results of S. Nakajima for the Galois module structure of the space of 2-holomorphic differentials on them.Algebraic Geometry14H37,14H10A homological approach for computing the tangent space of the deformation functor of curves with automorphismstext