|
Title
|
|
|
|
Algebroid prestacks and deformations of ringed spaces
|
|
|
Author
|
|
|
|
|
|
|
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 . |
|
|
|
Language
|
|
|
|
English
|
|
|
Source (journal)
|
|
|
|
Transactions of the American Mathematical Society. - Providence, R.I.
|
|
|
Publication
|
|
|
|
Providence, R.I.
:
2008
|
|
|
ISSN
|
|
|
|
0002-9947
[Print]
1088-6850
[Online]
|
|
|
DOI
|
|
|
|
10.1090/S0002-9947-07-04354-1
|
|
|
Volume/pages
|
|
|
|
360
:3
(2008)
, p. 1631-1660
|
|
|
ISI
|
|
|
|
000251837600018
|
|
|
Full text (Publisher's DOI)
|
|
|
|
|
|
|
Full text (open access)
|
|
|
|
|
|