Bhosle , Usha N.
(1999)
*Vector bundles on curves with many components*
Proceedings of the London Mathematical Society, 79
(1).
pp. 81-106.
ISSN 0024-6115

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Official URL: http://plms.oxfordjournals.org/content/79/1/81.sho...

Related URL: http://dx.doi.org/10.1112/S0024611599011855

## Abstract

We construct the moduli spaces M(n) of semistable parabolic sheaves of rank n and fixed Euler characteristic on a disjoint union X of integral projective curves with parabolic structures over Cartier divisors on X. In the case where X is non-singular, M is a normal projective variety. Suppose that X is the desingularisation of a reducible reduced curve Y with at most ordinary double points as singularities. We show that, for a suitable choice of parabolic structure, M(n) is the normalisation of the moduli space of torsion-free sheaves of rank n and fixed Euler characteristic on Y, and it is a desingularisation if semistability coincides with stability. We find explicit descriptions of M(n) for small n in some cases.

Item Type: | Article |
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Source: | Copyright of this article belongs to Oxford University Press. |

ID Code: | 69610 |

Deposited On: | 12 Nov 2011 09:40 |

Last Modified: | 12 Nov 2011 09:40 |

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