Picard groups of the moduli spaces of semistable sheaves I

Bhosle, Usha N. (2004) Picard groups of the moduli spaces of semistable sheaves I Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 113 (2). pp. 107-122. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/mathsci/vol114/may2004/Pm2160...

Abstract

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'.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Picard Groups; Semistable Sheaves; Nodal Curve
ID Code:69612
Deposited On:12 Nov 2011 09:41
Last Modified:18 May 2016 15:56

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