Characteristic varieties for a class of line arrangements
| dc.creator | Dinh, Thi-Anh-Thu | |
| dc.date | 2008-01-30 | |
| dc.date | 2008-02-28 | |
| dc.date.accessioned | 2026-07-07T09:23:29Z | |
| dc.date.available | 2026-07-07T09:23:29Z | |
| dc.description | Let $\mathcal{A}$ be a line arrangement in the complex projective plane $\mathbb{P}^2$, having the points of multiplicity $\geq 3$ situated on two lines in $\mathcal{A}$, say $H_0$ and $H_{\infty}$. Then we show that the non-local irreducible components of the first resonance variety $\mathcal{R}_1(\mathcal{A})$ are 2-dimensional and correspond to parallelograms $\mathcal{P}$ in $\mathbb{C}^2=\mathbb{P}^2 \setminus H_{\infty}$ whose sides are in $\mathcal{A}$ and for which $H_0$ is a diagonal. | |
| dc.description | 12 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0801.4593 | |
| dc.identifier | http://arxiv.org/abs/0801.4593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155750 | |
| dc.subject | Geometric Topology | |
| dc.subject | 32S22 | |
| dc.title | Characteristic varieties for a class of line arrangements | |
| dc.type | text |