Title
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Algebroid prestacks and deformations of ringed spaces
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Author
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Abstract
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For a ringed space , we show that the deformations of the abelian category of sheaves of -modules (Lowen and Van den Bergh, 2006) are obtained from algebroid prestacks, as introduced by Kontsevich. In case is a quasi-compact separated scheme the same is true for , the category of quasi-coherent sheaves on . It follows in particular that there is a deformation equivalence between and . |
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Language
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English
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Source (journal)
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Transactions of the American Mathematical Society. - Providence, R.I.
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Publication
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Providence, R.I.
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2008
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ISSN
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0002-9947
[Print]
1088-6850
[Online]
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DOI
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10.1090/S0002-9947-07-04354-1
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Volume/pages
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360
:3
(2008)
, p. 1631-1660
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ISI
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000251837600018
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Full text (Publisher's DOI)
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Full text (open access)
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