[Déformations et catégories dérivées]
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.
Accepté le :
Publié le :
@article{CRMATH_2002__334_2_97_0,
author = {Frauke M. Bleher and Ted Chinburg},
title = {Deformations and derived categories},
journal = {Comptes Rendus. Math\'ematique},
pages = {97--100},
publisher = {Elsevier},
volume = {334},
number = {2},
year = {2002},
doi = {10.1016/S1631-073X(02)02237-9},
language = {en},
}
Frauke M. Bleher; Ted Chinburg. Deformations and derived categories. Comptes Rendus. Mathématique, Volume 334 (2002) no. 2, pp. 97-100. doi : 10.1016/S1631-073X(02)02237-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02237-9/
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Cité par Sources :
☆ Supported (respectively) by NSA Young Investigator Grant MDA904-01-1-0050 and NSF Grant DMS00-70433.
Commentaires - Politique
Universal deformation rings need not be complete intersections
Frauke M. Bleher; Ted Chinburg
C. R. Math (2006)
A universal deformation ring which is not a complete intersection ring
Jakub Byszewski
C. R. Math (2006)