no. 4
Formal deformation of curves with group scheme action
Wewers, Stefan1
1 Universität Bonn, Mathematisches Institut, beringstr. 1, 53 115 Bonn (Allemagne)
Annales de l'Institut Fourier, Volume 55 (2005) no. 4, pp. 1105-1165.

We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.

Nous étudions les déformations équivariantes d'une courbe singulière sur laquelle agit un schéma en groupes, en utilisant une version simplifiée du complexe cotangent équivariant définie par Illusie. Ces méthodes sont explicitées dans un cas particulier qui apparaît naturellement dans l'étude des revêtements galoisiens étale de la droite projective moins trois points.

DOI: 10.5802/aif.2122
Classification: 14B12, 14H30, 13D10
Keywords: Equivariant deformation, curves, group schemes, cotangent complex
Wewers, Stefan 1

1 Universität Bonn, Mathematisches Institut, beringstr. 1, 53 115 Bonn (Allemagne) 
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Wewers, Stefan. Formal deformation of curves with group scheme action. Annales de l'Institut Fourier, Volume 55 (2005) no. 4, pp. 1105-1165. doi : 10.5802/aif.2122. https://aif.centre-mersenne.org/articles/10.5802/aif.2122/

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