Admissible local systems for a class of line arrangements
| dc.creator | Nazir, Shaheen | |
| dc.creator | Raza, Zahid | |
| dc.date | 2008-01-23 | |
| dc.date | 2008-02-22 | |
| dc.date.accessioned | 2026-07-07T09:22:14Z | |
| dc.date.available | 2026-07-07T09:22:14Z | |
| dc.description | A rank one local system $\LL$ on a smooth complex algebraic variety $M$ is admissible roughly speaking if the dimension of the cohomology groups $H^m(M,\LL)$ can be computed directly from the cohomology algebra $H^*(M,\C)$. We say that a line arrangement $\A$ is of type $\CC_k$ if $k \ge 0 $ is the minimal number of lines in $\A$ containing all the points of multiplicity at least 3. We show that if $\A$ is a line arrangement in the classes $\CC_k$ for $k\leq 2$, then any rank one local system $\LL$ on the line arrangement complement $M$ is admissible. Partial results are obtained for the class $\CC_3$. | |
| dc.description | 9 pages, 2figures | |
| dc.identifier | https://arxiv.org/abs/0801.3512 | |
| dc.identifier | http://arxiv.org/abs/0801.3512 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155305 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C21, 14F99, 32S22 (Primary); 14E05 (Secondary) | |
| dc.title | Admissible local systems for a class of line arrangements | |
| dc.type | text |