Koeck, Bernhard and Kontogeorgis, Aristides
(2012)
Quadratic differentials and equivariant deformation theory of curves.
*Annales de l'Institut Fourier*, 62 (3), 1-29.

## 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.

**__soton.ac.uk_ude_PersonalFiles_Users_yl1m11_mydocuments_REF2014_REF outputs_UoA 10 outputs_148689.pdf - Author's Original**

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- Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg) > Pure Mathematics (pre 2018 reorg)

Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Pure Mathematics (pre 2018 reorg)

School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Pure Mathematics (pre 2018 reorg) - Faculties (pre 2011 reorg) > Faculty of Engineering Science & Maths (pre 2011 reorg) > Mathematics (pre 2011 reorg)

Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematics (pre 2011 reorg)

School of Mathematical Sciences > Mathematics (pre 2011 reorg)

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