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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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| 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: | 0027-7630 |
| ISSN (Online): | 2152-6842 |
| Published Online: | 03 September 2013 |
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