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Numerically finite hereditary categories with Serre duality
| Content Provider | Semantic Scholar |
|---|---|
| Author | Roosmalen, Adam-Christiaan Van |
| Copyright Year | 2013 |
| Abstract | Let A be an abelian hereditary category with Serre duality. We provide a classification of such categories up to derived equivalence under the additional condition that the Grothendieck group modulo the radical of the Euler form is a free abelian group of finite rank. Such categories are called numerically finite, and this condition is satisfied by the category of coherent sheaves on a smooth projective variety. |
| Starting Page | 7189 |
| Ending Page | 7238 |
| Page Count | 50 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/tran/6569 |
| Volume Number | 368 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1304.0257v2.pdf |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/2016-368-10/S0002-9947-2016-06569-1/S0002-9947-2016-06569-1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/tran%2F6569 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
