On the extendability of free multiarrangements
| dc.creator | Yoshinaga, Masahiko | |
| dc.date | 2007-10-26 | |
| dc.date | 2008-04-28 | |
| dc.date.accessioned | 2026-07-07T09:35:11Z | |
| dc.date.available | 2026-07-07T09:35:11Z | |
| dc.description | A free multiarrangement of rank $k$ is defined to be extendable if it is obtained from a simple rank $(k+1)$ free arrangement by the natural restriction to a hyperplane (in the sense of Ziegler). Not all free multiarrangements are extendable. We will discuss extendability of free multiarrangements for a special class. We also give two applications. The first is to produce totally non-free arrangements. The second is to give interpolating free arrangements between extended Shi and Catalan arrangements. | |
| dc.description | 7 pages, v2: errors corrected and expanded, v3: errors corrected. To appear in the proceeding of 2007 CIMPA Summer School "Arrangements, Local systems and Singularities" | |
| dc.identifier | https://arxiv.org/abs/0710.5044 | |
| dc.identifier | http://arxiv.org/abs/0710.5044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159752 | |
| dc.subject | Combinatorics | |
| dc.subject | Commutative Algebra | |
| dc.subject | 52C35; 32S22 | |
| dc.title | On the extendability of free multiarrangements | |
| dc.type | text |