The irreducibility of the moduli space of stable vector bundles of rank 2 on a quintic in $\pp^3$
| dc.creator | Nijsse, Pieter | |
| dc.date | 1995-03-22 | |
| dc.date.accessioned | 2026-07-07T09:06:24Z | |
| dc.date.available | 2026-07-07T09:06:24Z | |
| dc.description | In this paper I consider a quintic surface in $\pp^3$, general in the sense of Noether-Lefschetz theory. The vector bundles of rank 2 on this surface which are $μ$-stable with respect to the hyperplane section and have $c_1 = K$, the canonical class of the surface and fixed $c_2$, are parametrized by a moduli space. This space is known to be irreducible for large $c_2$ (work of K.G. O'Grady). I give an explicit bound, namely $c_2 \geq 16$. | |
| dc.description | AMSTeX, 12 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9503012 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9503012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149995 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20 (Primary) 14J29 (Secondary) | |
| dc.title | The irreducibility of the moduli space of stable vector bundles of rank 2 on a quintic in $\pp^3$ | |
| dc.type | text |