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Title
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Abelian and derived deformations in the presence of ℤ-generating geometric helices
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Author
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Abstract
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| 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 |
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Language
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English
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Source (journal)
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Journal of noncommutative geometry
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Publication
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2011
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ISSN
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1661-6952
1661-6960
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DOI
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10.4171/JNCG/83
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Volume/pages
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5
:4
(2011)
, p. 477-505
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ISI
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000295822400001
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Full text (Publisher's DOI)
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