Polydifferentials and the deformation functor of curves with automorphisms |
| |
Authors: | A Kontogeorgis |
| |
Institution: | Department of Mathematics, University of the Ægean, 83200 Karlovassi, Samos, Greece |
| |
Abstract: | We give a relation between the dimension of the tangent space of the deformation functor of curves with automorphisms and the Galois module structure of the space of 2-holomorphic differentials. We prove a homological version of the local-global principle similar to the one of J. Bertin and A. Mézard. Let G be a cyclic subgroup of the group of automorphisms of a curve X, so that the order of G is equal to the characteristic. By using the results of S. Nakajima on the Galois module structure of the space of 2-holomorphic differentials, we compute the dimension of the tangent space of the deformation functor. |
| |
Keywords: | 14H37 14H10 |
本文献已被 ScienceDirect 等数据库收录! |
|