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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
Citation: 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.
URI: http://hdl.handle.net/1942/17620
DOI: 10.1016/j.aim.2013.04.024
ISI #: 000322423500017
ISSN: 0001-8708
Category: A1
Type: Journal Contribution
Validation: ecoom, 2014
Appears in Collections: Research publications

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