Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/17620
Title: On compact generation of deformed schemes
Authors: Lowen, Wendy
VAN DEN BERGH, Michel 
Issue Date: 2013
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Source: ADVANCES IN MATHEMATICS, 244, p. 441-464
Abstract: We obtain a theorem which allows to prove compact generation of derived categories of Grothendieck categories, based upon certain coverings by localizations. This theorem follows from an application of Rouquier's cocovering theorem in the triangulated context, and it implies Neeman's result on compact generation of quasi-compact separated schemes. We prove an application of our theorem to non-commutative deformations of such schemes, based upon a change from Koszul complexes to Chevalley-Eilenberg complexes. (C) 2013 Elsevier Inc. All rights reserved.
Notes: [Lowen, Wendy] Univ Antwerp, Dept Wiskunde Informat, B-2020 Antwerp, Belgium. [Van den Bergh, Michel] Univ Hassell, Dept WNI, B-3590 Diepenbeek, Belgium.
Keywords: Grothendieck category; Derived category; Compact generation; Deformation; Surface;Grothendieck category; derived category; compact generation; deformation; surface
Document URI: http://hdl.handle.net/1942/17620
ISSN: 0001-8708
e-ISSN: 1090-2082
DOI: 10.1016/j.aim.2013.04.024
ISI #: 000322423500017
Rights: © 2013 Elsevier Inc. All rights reserved.
Category: A1
Type: Journal Contribution
Validations: ecoom 2014
Appears in Collections:Research publications

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