A note on thick subcategories of stable derived categories

Details A note on thick subcategories of stable derived categories A note on thick subcategories of stable derived categories

2011-11-09

arxiv.org/abs/1111.2220v1

Mathematics

Category Theory

7 pages

Scientific paper

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 local complete intersections and produce generators for the category of coherent sheaves on a separated noetherian scheme with an ample family.

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