Title
Algebroid prestacks and deformations of ringed spacesAlgebroid prestacks and deformations of ringed spaces
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Research group
Fundamental Mathematics
Publication type
article
Publication
Providence, R.I.,
Subject
Mathematics
Source (journal)
Transactions of the American Mathematical Society. - Providence, R.I.
Volume/pages
360(2008):3, p. 1631-1660
ISSN
0002-9947
1088-6850
ISI
000251837600018
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
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 .
Full text (open access)
https://repository.uantwerpen.be/docman/irua/72c1c9/4e6ed99a.pdf
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