Picard groups of the moduli spaces of semistable sheaves I
| dc.creator | Bhosle, Usha N | |
| dc.date | 2004-06-28 | |
| dc.date.accessioned | 2026-07-07T05:09:45Z | |
| dc.date.available | 2026-07-07T05:09:45Z | |
| dc.description | We compute the Picard group of the moduli space $U'$ of semistable vector bundles of rank $n$ and degree $d$ on an irreducible nodal curve $Y$ and show that $U'$ is locally factorial. We determine the canonical line bundles of $U'$ and $U'_L$, the subvariety consisting of vector bundles with a fixed determinant. For rank 2, we compute the Picard group of other strata in the compactification of $U'$. | |
| dc.description | 16 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0406565 | |
| dc.identifier | http://arxiv.org/abs/math/0406565 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 2, May 2004, pp. 107-122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71700 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14C22, 14F05 | |
| dc.title | Picard groups of the moduli spaces of semistable sheaves I | |
| dc.type | text |