Non-Ulrich representation type
| Affiliation auteurs | Affiliation ok |
| Titre | Non-Ulrich representation type |
| Type de publication | Journal Article |
| Year of Publication | 2021 |
| Auteurs | Faenzi D, Malaspina F, Sanna G |
| Journal | ALGEBRAIC GEOMETRY |
| Volume | 8 |
| Pagination | 405-429 |
| Date Published | JUL |
| Type of Article | Article |
| ISSN | 2313-1691 |
| Mots-clés | arithmetically Cohen-Macaulay sheaves, Cohen-Macaulay modules, moduli of vector bundles, Ulrich sheaves, wild representation type |
| Résumé | We show a remarkable property of the CM-wild variety P-1 x P-2 , namely that the only ACM sheaves moving in positive-dimensional families are Ulrich bundles. A complete classification of the non-Ulrich range is given. We prove that this feature is unique in the sense that any other ACM reduced closed subscheme X subset of P-N of dimension n >= 1 belongs to the well-known list of CM-finite or CM-tame varieties, or else it remains CM-wild upon removing Ulrich sheaves. |
| DOI | 10.14231/AG-2021-012 |