On coherent systems of type (n,d,n+1) on Petri curves
| dc.creator | Bhosle, U. N. | |
| dc.creator | Brambila-Paz, L. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 2007-12-13 | |
| dc.date.accessioned | 2026-07-07T08:49:05Z | |
| dc.date.available | 2026-07-07T08:49:05Z | |
| dc.description | We study coherent systems of type $(n,d,n+1)$ on a Petri curve $X$ of genus $g\ge2$. We describe the geometry of the moduli space of such coherent systems for large values of the parameter $α$. We determine the top critical value of $α$ and show that the corresponding ``flip'' has positive codimension. We investigate also the non-emptiness of the moduli space for smaller values of $α$, proving in many cases that the condition for non-emptiness is the same as for large $α$. We give some detailed results for $g\le5$ and applications to higher rank Brill-Noether theory and the stability of kernels of evaluation maps, thus proving Butler's conjecture in some cases in which it was not previously known. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/0712.2215 | |
| dc.identifier | http://arxiv.org/abs/0712.2215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144170 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60 | |
| dc.title | On coherent systems of type (n,d,n+1) on Petri curves | |
| dc.type | text |