Publication
Title
Abelian and derived deformations in the presence of ℤ-generating geometric helices
Author
Abstract
For a Grothendieck category C which, via a Z -generating sequence (O(n)) n∈Z , is equivalent to the category of quasi-coherent modules over an associated Z -algebra a , we show that under suitable cohomological conditions taking quasi-coherent modules defines an equivalence between linear deformations of a and abelian deformations of C . If (O(n)) n∈Z is at the same time a geometric helix in the derived category, we show that restricting a (deformed) Z -algebra to a thread of objects defines a further equivalence with linear deformations of the associated matrix algebra
Language
English
Source (journal)
Journal of noncommutative geometry
Publication
2011
ISSN
1661-6952
1661-6960
Volume/pages
5:4(2011), p. 477-505
ISI
000295822400001
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 04.10.2011
Last edited 24.06.2017
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