LOGARITHMIC BUNDLES OF DEFORMED WEYL ARRANGEMENTS OF TYPE A(2)
| Affiliation auteurs | Affiliation ok |
| Titre | LOGARITHMIC BUNDLES OF DEFORMED WEYL ARRANGEMENTS OF TYPE A(2) |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Abe T, Faenzi D, Valles J |
| Journal | BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE |
| Volume | 144 |
| Pagination | 745-761 |
| Type of Article | Article |
| ISSN | 0037-9484 |
| Mots-clés | Line arrangements, logarithmic sheaves, root systems, Weyl arrangements |
| Résumé | We consider deformations of the Weyl arrangement of type A(2), which include the extended Shi and Catalan arrangements. These last ones are well-known to be free. We study their sheaves of logarithmic vector fields in all other cases, and show that they are Steiner bundles. Also, we determine explicitly their unstable lines. As a corollary, some counter-examples to the shift isomorphism problem are given. |
| DOI | 10.24033/bsmf.2726 |