Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598366 | Journal of Pure and Applied Algebra | 2007 | 8 Pages |
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 GG be a cyclic subgroup of the group of automorphisms of a curve XX, so that the order of GG 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Kontogeorgis,