Abstract
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.
Citation
Henning Krause. Greg Stevenson. "A note on thick subcategories of stable derived categories." Nagoya Math. J. 212 87 - 96, December 2013. https://doi.org/10.1215/00277630-2351125
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