@article{Koeck2012ALFp10151043,
  title = {{Quadratic Differentials and Equivariant Deformation Theory of Curves}},
  author = {Koeck, Benrhard and Kontogeorgis, Aristides},
  file = {fourier.pdf},
  volume = {62},
  pages = {1015{--}1043},
  url = {http://aif.cedram.org/item?id=AIF_2012__62_3_1015_0},
  year = {2012},
  journal = {Annales de L'institut Fourier},
  abstract = {Given a finite p-group G acting on a smooth projective curve X over an algebraically closed field k of characteristic p, the dimension of the tangent space of the associated equivariant deformation functor is equal to the dimension of the space of coinvariants of G acting on the space V of global holomorphic quadratic differentials on X. We apply known results about the Galois module structure of Riemann-Roch spaces to compute this dimension when G is cyclic or when the action of G on X is weakly ramified. Moreover we determine certain subrepresentations of V, called p-rank representations.},
  issn = {},
  number = {3}
}