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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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