Coherent systems of genus 0
| dc.creator | Lange, H. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 2003-11-14 | |
| dc.date.accessioned | 2026-07-07T05:02:54Z | |
| dc.date.available | 2026-07-07T05:02:54Z | |
| dc.description | In this paper we begin the classification of coherent systems $(E,V)$ on the projective line which are stable with respect to some value of a parameter $α$. In particular we show that the moduli spaces, if non-empty, are always smooth and irreducible of the expected dimension. We obtain necessary conditions for non-emptiness and, when $\dim V=1$ or 2, we determine these conditions precisely. We also obtain partial results in some other cases. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311239 | |
| dc.identifier | http://arxiv.org/abs/math/0311239 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69195 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60;14F05;32L10 | |
| dc.title | Coherent systems of genus 0 | |
| dc.type | text |