Moduli spaces of SL(r)-bundles on singular irreducible curves
| dc.creator | Sun, Xiaotao | |
| dc.date | 2003-03-17 | |
| dc.date.accessioned | 2026-07-07T04:56:06Z | |
| dc.date.available | 2026-07-07T04:56:06Z | |
| dc.description | For a stable irreducible curve $X$ and a torsion free sheaf $L$ on $X$ of rank one and degree $d$, D.S. Nagaraj and C.S. Seshadri ([NS]) defined a closed subset $\Cal U_X(r,L)$ in the moduli space of semistable torsion free sheaves of rank $r$ and degree $d$ on $X$. We prove that $\Cal U_X(r,L)$ is irreducible, when a smooth curve $Y$ specializes to $X$ and a line bundle $\Cal L$ on $Y$ specializes to $L$, the specialization of moduli space of semistable rank $r$ vector bundles on $Y$ with fixed determinant $\Cal L$ has underlying set $\Cal U_X(r,L)$. For rank 2 and 3, we show that there is a Cohen-Macaulay closed subscheme in the Gieseker space which represents a suitable moduli functor and has good specialization property. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303198 | |
| dc.identifier | http://arxiv.org/abs/math/0303198 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66804 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Moduli spaces of SL(r)-bundles on singular irreducible curves | |
| dc.type | text |