Bhosle, Usha N and Biswas, Indranil (2016) Moduli spaces of vector bundles on a singular rational ruled surface. In: GEOMETRIAE DEDICATA, 180 (1). pp. 399-413.
PDF
Geo_Ded_180-1_399_2016.pdf - Published Version Restricted to Registered users only Download (475kB) | Request a copy |
Official URL: http://dx.doi.org/10.1007/s10711-015-0108-2
Abstract
We study moduli spaces M-X (r, c(1), c(2)) parametrizing slope semistable vector bundles of rank r and fixed Chern classes c(1), c(2) on a ruled surface whose base is a rational nodal curve. We showthat under certain conditions, these moduli spaces are irreducible, smooth and rational (when non-empty). We also prove that they are non-empty in some cases. We show that for a rational ruled surface defined over real numbers, the moduli space M-X (r, c(1), c(2)) is rational as a variety defined over R.
Item Type: | Journal Article |
---|---|
Publication: | GEOMETRIAE DEDICATA |
Publisher: | SPRINGER |
Additional Information: | Copy right for this article belongs to the SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS |
Keywords: | Vector bundles; Moduli; Singular ruled surface; Rationality |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 29 Apr 2016 05:36 |
Last Modified: | 29 Apr 2016 05:36 |
URI: | http://eprints.iisc.ac.in/id/eprint/53739 |
Actions (login required)
View Item |