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- W2052251010 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." @default.
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- W2052251010 date "2007-08-01" @default.
- W2052251010 modified "2023-10-10" @default.
- W2052251010 title "Polydifferentials and the deformation functor of curves with automorphisms" @default.
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- W2052251010 doi "https://doi.org/10.1016/j.jpaa.2006.10.015" @default.
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