Rational families of vector bundles on curves, I
| dc.creator | Castravet, Ana-Maria | |
| dc.date | 2003-02-12 | |
| dc.date.accessioned | 2026-07-07T04:55:13Z | |
| dc.date.available | 2026-07-07T04:55:13Z | |
| dc.description | Let C be a smooth complex projective curve of genus at least 2 and let M be the moduli space of rank 2, stable vector bundles on C, with fixed determinant of degree 1. For any k>1, we find two irreducible components of the space of rational curves of degree k on M. One component, which we call the nice component has the property that the general element is a very free curve if k is sufficiently large. The other component has the general element a free curve. Both components have the expected dimension and their maximal rationally connected fibration is the Jacobian of the curve C. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0302133 | |
| dc.identifier | http://arxiv.org/abs/math/0302133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66503 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60 (Primary), 14Exx (Secondary) | |
| dc.title | Rational families of vector bundles on curves, I | |
| dc.type | text |