Nonemptiness of Brill-Noether loci
| dc.creator | Brambila-Paz, L. | |
| dc.creator | Mercat, V. | |
| dc.creator | Newstead, P. E. | |
| dc.creator | Ongay, F. | |
| dc.date | 1999-04-26 | |
| dc.date.accessioned | 2026-07-07T05:28:50Z | |
| dc.date.available | 2026-07-07T05:28:50Z | |
| dc.description | Let $X$ be a non-singular algebraic curve of genus $g$. We prove that the Brill-Noether locus $\bns $ is non-empty if $d= nd' +d'' $ with $0< d'' <2n$, $1\le s\le g$, $d'\geq (s-1)(s+g)/s $, $n\leq d''+(n-k)g$, $(d'',k)\ne(n,n)$. These results hold for an arbitrary curve of genus $\ge 2$, and allow us to construct a region in the associated ``Brill-Noether $\pa$-map'' of points for which the Brill-Noether loci are non-empty. Even for the generic case, the region so constructed extends beyond that defined by the so-called ``Teixidor parallelograms.'' For hyperelliptic curves, the same methods give more extensive and precise results. | |
| dc.description | AMSLatex file, 22 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/math/9904147 | |
| dc.identifier | http://arxiv.org/abs/math/9904147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78409 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Nonemptiness of Brill-Noether loci | |
| dc.type | text |