Families of maximal subbundles of stable vector bundles on curves
| dc.creator | Ballico, E. | |
| dc.creator | Russo, B. | |
| dc.date | 2000-05-10 | |
| dc.date.accessioned | 2026-07-07T04:35:09Z | |
| dc.date.available | 2026-07-07T04:35:09Z | |
| dc.description | Let X be a smooth projective curve of genus g bigger then 2. For any vector bundle E on X let M_k(E) be the scheme of all rank k subbundles of E with maximal degree. For every integers r, k and x with 0<k<r, x positive and either x less then (k-1)(r-2k+1) (if 2k is less then r) or (r-k-1)(2k-r+1) (if 2k> r), we construct a rank r stable vector bundle E such that M_k(E) has an irreducible component of dimension x. Furthermore, if there exists a stable vector bundle F with small Lange's invariant s_k(F) and with M_k(F) `spread enough', then X i s a multiple covering of a curve of genus bigger then 2. | |
| dc.description | 8 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0005097 | |
| dc.identifier | http://arxiv.org/abs/math/0005097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59164 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14D20 | |
| dc.title | Families of maximal subbundles of stable vector bundles on curves | |
| dc.type | text |