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A note on thick subcategories of stable derived categories

Published online by Cambridge University Press:  11 January 2016

Henning Krause  and
Greg Stevenson
Henning Krause
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, D-33501 Bielefeld, Germany, hkrause@math.uni-bielefeld.de
Greg Stevenson
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, D-33501 Bielefeld, Germany, gstevens@math.uni-bielefeld.de
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Abstract

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For an exact category having enough projective objects, we establish a bijection between thick subcategories containing the projective objects and thick subcategories of the stable derived category. Using this bijection, we classify thick subcategories of finitely generated modules over strict local complete intersections and produce generators for the category of coherent sheaves on a separated Noetherian scheme with an ample family of line bundles.

Keywords

18E3013D0914F05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 212 , December 2013 , pp. 87 - 96
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2013

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