Déformations équivariantes des courbes stables I : Étude cohomologique

dc.creatorMaugeais, Sylvain
dc.date2003-10-09
dc.date.accessioned2026-07-07T05:01:46Z
dc.date.available2026-07-07T05:01:46Z
dc.descriptionLet $k$ be a field, $C\to \Spec k$ be a stable curve and let $G$ be a finite group acting faithfully on the curve $C\to \Spec k$. In this article, we compute the vector space $\Ext^1_G(Ω_{C/k}, Ø_C)$, the sheaf $Ω_{C/k}$ 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.
dc.description31 pages, french
dc.identifierhttps://arxiv.org/abs/math/0310137
dc.identifierhttp://arxiv.org/abs/math/0310137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68799
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14H30
dc.titleDéformations équivariantes des courbes stables I : Étude cohomologique
dc.typetext

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