Deformations and derived categories
[Déformations et catégories dérivées]
Bleher, Frauke M.1 ; Chinburg, Ted2
1 Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USA
2 Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395, USA
Comptes Rendus. Mathématique, Tome 334 (2002) no. 2, pp. 97-100.

Nous généralisons la théorie de déformation des représentations des groupes profinis développée par Mazur et Schlessinger aux complexes de modules sur de tels groupes. Comme exemple nous déterminons l'anneau de déformation universelle de l'hypercohomologie étale compacte de μp sur certaines courbes elliptiques affines de type CM étudiées par Boston et Ullom.

We generalize the deformation theory of representations of profinite groups developed by Mazur and Schlessinger to complexes of modules for such groups. As an example, we determine the universal deformation ring of the compact étale hypercohomology of μp on certain affine CM elliptic curves studied by Boston and Ullom.

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Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02237-9
Bleher, Frauke M. 1 ; Chinburg, Ted 2

1 Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USA
2 Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395, USA 
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Bleher, Frauke M.; Chinburg, Ted. Deformations and derived categories. Comptes Rendus. Mathématique, Tome 334 (2002) no. 2, pp. 97-100. doi : 10.1016/S1631-073X(02)02237-9. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02237-9/

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