Moduli spaces of vector bundles on a singular rational ruled surface

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.

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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

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