Obstructions for deformations of complexes
[Obstructions pour déformations de complexes]
Bleher, Frauke M.1 ; Chinburg, Ted2
1 University of Iowa Department of Mathematics Iowa City, IA 52242-1419 (U.S.A.)
2 University of Pennsylvania Department of Mathematics Philadelphia, PA 19104-6395 (U.S.A.)
Annales de l'Institut Fourier, Tome 63 (2013) no. 2, pp. 613-654.

Nous développons deux approches de la théorie de l’obstruction des déformations de classes d’isomorphisme dans la catégorie dérivée des complexes de A[[G]]-modules lorsque G est un groupe profini et A un anneau local, noethérien complet, de caractéristique positive résiduelle.

We develop two approaches to obstruction theory for deformations of derived isomorphism classes of complexes of modules for a profinite group G over a complete local Noetherian ring A of positive residue characteristic.

DOI : 10.5802/aif.2771
Classification : 11F80, 20E18, 18E30, 18G40
Keywords: Versal and universal deformations, derived categories, obstructions, spectral sequences
Mot clés : déformations verselles et universelles, catégories dérivées, obstructions, suites spectrales
Bleher, Frauke M. 1 ; Chinburg, Ted 2

1 University of Iowa Department of Mathematics Iowa City, IA 52242-1419 (U.S.A.)
2 University of Pennsylvania Department of Mathematics Philadelphia, PA 19104-6395 (U.S.A.) 
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Bleher, Frauke M.; Chinburg, Ted. Obstructions for deformations of complexes. Annales de l'Institut Fourier, Tome 63 (2013) no. 2, pp. 613-654. doi : 10.5802/aif.2771. http://www.numdam.org/articles/10.5802/aif.2771/

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