Deformations and derived categories

Frauke M Bleher; Ted Chinburg

doi:10.5802/aif.2162

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Journal article

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Deformations and derived categories

Frauke M Bleher and Ted Chinburg

Annales de l'Institut Fourier, Vol.55(7), pp.2285-2359

2005

DOI: 10.5802/aif.2162

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Abstract

In this paper we generalize the deformation theory of representations of a profinite group developed by Schlessmger and Mazur to deformations of objects of the derived category of bounded complexes of pseudocompact modules for such a group. We show that such objects have versal deformations under certain natural conditions, and we find a sufficient condition for these versal deformations to be universal. Moreover, we consider applications to deforming Galois cohomology classes and the étale hypercohomology of μp on certain affine CM ellitpic curves.

Algebra

Mathematics

Number Theory

Category theory, homological algebra

Exact sciences and technology

Group theory

Group theory and generalizations

Sciences and techniques of general use

Details

Title: Subtitle: Deformations and derived categories
Creators: Frauke M Bleher - University of Iowa
Ted Chinburg - University of Pennsylvania
Resource Type: Journal article
Publication Details: Annales de l'Institut Fourier, Vol.55(7), pp.2285-2359
DOI: 10.5802/aif.2162
ISSN: 0373-0956
eISSN: 1777-5310
Publisher: Association des annales de l'institut Fourier
Language: English
Date published: 2005
Academic Unit: Mathematics
Record Identifier: 9984240761502771

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