Plane curves as Pfaffians
| dc.creator | Buckley, Anita | |
| dc.creator | Kosir, Tomaz | |
| dc.date | 2008-05-19 | |
| dc.date.accessioned | 2026-07-07T09:39:42Z | |
| dc.date.available | 2026-07-07T09:39:42Z | |
| dc.description | Let $C$ be a smooth curve in $\PP^2$ given by an equation F=0 of degree $d$. In this paper we parametrise all linear pfaffian representations of $F$ by an open subset in the moduli space $M_C(2,K_C)$. We construct an explicit correspondence between pfaffian representations of $C$ and rank 2 vector bundles on $C$ with canonical determinant and no sections. | |
| dc.description | 16 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0805.2831 | |
| dc.identifier | http://arxiv.org/abs/0805.2831 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161269 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14H50, 15A57, 15A21 | |
| dc.title | Plane curves as Pfaffians | |
| dc.type | text |