A note on thick subcategories of stable derived categories

Krause, H. and Stevenson, G. (2013) A note on thick subcategories of stable derived categories. Nagoya Mathematical Journal, 212, pp. 87-96. (doi: 10.1215/00277630-2351125)

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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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Stevenson, Dr Gregory
Authors: Krause, H., and Stevenson, G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Nagoya Mathematical Journal
Publisher:Cambridge University Press
ISSN (Online):2152-6842
Published Online:03 September 2013

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