D\'eformations \'equivariantes des courbes stables I : \'Etude cohomologique
Abstract
Let k be a field, C k be a stable curve and let G be a finite group acting faithfully on the curve C k. In this article, we compute the vector space 1G(C/k, C), the sheaf C/k being the sheaf of relative differentials. This vector space is naturally isomorphic to the set of first order G-equivariant deformations of C. The computation we do here will be used in a future article.
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