Generalized parabolic sheaves on an integral projective curve

Bhosle, Usha N. (1992) Generalized parabolic sheaves on an integral projective curve Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 102 (1). pp. 13-22. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/102/1/13-22...

Related URL: http://dx.doi.org/10.1007/BF02837175

Abstract

We extend the notion of a parabolic vector bundle on a smooth curve to define generalized parabolic sheaves (GPS) on any integral projective curve X. We construct the moduli spaces M(X) of GPS of certain type on X. If X is obtained by blowing up finitely many nodes in Y then we show that there is a surjective birational morphism from M(X) to M(Y). In particular, we get partial desingularisations of the moduli of torsion-free sheaves on a nodal curve Y.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
ID Code:3411
Deposited On:11 Oct 2010 08:58
Last Modified:16 May 2016 14:13

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