Hodge spectrum of hyperplane arrangements
| dc.creator | Budur, Nero | |
| dc.date | 2008-09-19 | |
| dc.date | 2008-09-26 | |
| dc.date.accessioned | 2026-07-07T10:05:11Z | |
| dc.date.available | 2026-07-07T10:05:11Z | |
| dc.description | In this article there are two main results. The first result gives a formula, in terms of a log resolution, for the graded pieces of the Hodge filtration on the cohomology of a unitary local system of rank one on the complement of an arbitrary divisor in a smooth projective complex variety. The second result is an application of the first. We give a combinatorial formula for the spectrum of a hyperplane arrangement. M. Saito recently proved that the spectrum of a hyperplane arrangement depends only on combinatorics. However, a combinatorial formula was missing. The formula is achieved by a different method. | |
| dc.description | v2: added references to Prof. Libgober's work | |
| dc.identifier | https://arxiv.org/abs/0809.3443 | |
| dc.identifier | http://arxiv.org/abs/0809.3443 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169936 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05, 32S35, 32S22 | |
| dc.title | Hodge spectrum of hyperplane arrangements | |
| dc.type | text |