Geography of Brill-Noether loci for small slopes
| dc.creator | Paz, L. Brambila | |
| dc.creator | Grzegorczyk, I. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 1995-11-06 | |
| dc.date.accessioned | 2026-07-07T09:06:38Z | |
| dc.date.available | 2026-07-07T09:06:38Z | |
| dc.description | Let $X$ be a non-singular projective curve of genus $g\ge2$ over an algebraically closed field of characteristic zero. Let $\mo$ denote the moduli space of stable bundles of rank $n$ and degree $d$ on $X$ and $\wn $ the Brill-Noether loci in $\mo .$ We prove that, if $0\leq d \leq n $ and $\wn $ is non-empty, then it is irreducible of the expected dimension and smooth outside $\wnn$. We prove further that in this range $\wn$ is non-empty if and only if $d>0$, $n\leq d+(n-k)g$ and $(n,d,k) \not= (n,n,n)$. We also prove irreducibility and non-emptiness for the semistable Brill-Noether loci. | |
| dc.description | 34pp and 3 figures. Figures (not included in e-print) may be obtained by sending your mailing address to newstead@liv.ac.uk; complete hard copy also available. LaTeX 2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9511003 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9511003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150082 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 (primary), 14D20 (secondary) | |
| dc.title | Geography of Brill-Noether loci for small slopes | |
| dc.type | text |