Stevenson, G. (2014) Subcategories of singularity categories via tensor actions. Compositio Mathematica, 150(02), pp. 229-272. (doi: 10.1112/S0010437X1300746X)
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Abstract
We obtain, via the formalism of tensor actions, a complete classification of the localizing subcategories of the stable derived category of any affine scheme that has hypersurface singularities or is a complete intersection in a regular scheme; in particular, this classifies the thick subcategories of the singularity categories of such rings. The analogous result is also proved for certain locally complete intersection schemes. It is also shown that from each of these classifications one can deduce the (relative) telescope conjecture.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Stevenson, Dr Gregory |
| Authors: | Stevenson, G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Compositio Mathematica |
| Publisher: | Foundation Compositio Mathematica |
| ISSN: | 0010-437X |
| ISSN (Online): | 1570-5846 |
| Published Online: | 22 November 2013 |
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