Moduli spaces of vector bundles on a singular rational ruled surface

Bhosle, Usha N. ; Biswas, Indranil (2016) Moduli spaces of vector bundles on a singular rational ruled surface Geometriae Dedicata, 180 (1). pp. 399-413. ISSN 0046-5755

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Official URL: https://link.springer.com/article/10.1007/s10711-0...

Related URL: http://dx.doi.org/10.1007/s10711-015-0108-2

Abstract

We study moduli spaces MX(r,c1,c2) parametrizing slope semistable vector bundles of rank r and fixed Chern classes c1,c2 on a ruled surface whose base is a rational nodal curve. We show that 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 MX(r,c1,c2) is rational as a variety defined over R.

Item Type:Article
Source:Copyright of this article belongs to Springer Verlag.
Keywords:Vector Bundles; Moduli; Singular Ruled Surface; Rationality
ID Code:112232
Deposited On:23 Jan 2018 12:18
Last Modified:23 Jan 2018 12:18

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