Birational maps of moduli of Brill-Noether pairs
| dc.creator | Butler, David C. | |
| dc.date | 1997-05-07 | |
| dc.date.accessioned | 2026-07-07T09:07:17Z | |
| dc.date.available | 2026-07-07T09:07:17Z | |
| dc.description | Let $C$ be a smooth projective irreducible curve of genus $g$. And let $G_α(n,d,l)$ be the moduli space of $α$ stable pairs of a vector bundle of $\rank n, °d$ and a subspace of $H^0(C,E)$ of $\dim = l $. We find an explicit birational map from $G_α (n, d, n+1)$ to $G_α (1, d, n+1)$ for $C$ general, $1/α\gg 0$ and $g \ge n^2-1$. Because of this and other examples, we conjecture $G_α (a, d, a+z)$ maps birationally to $G_α (z, d, a+z)$ for $1/ α\gg 0$ and $C$ general with $g>2$. | |
| dc.description | 12 pp | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9705009 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9705009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150318 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Birational maps of moduli of Brill-Noether pairs | |
| dc.type | text |