Degenerations of the moduli spaces of vector bundles on curves II (generalized Gieseker moduli spaces)

Nagaraj, D. S. ; Seshadri, C. S. (1999) Degenerations of the moduli spaces of vector bundles on curves II (generalized Gieseker moduli spaces) Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 109 (2). pp. 165-201. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/109/2/165-2...

Related URL: http://dx.doi.org/10.1007/BF02841533

Abstract

Let X0 be a projective curve whose singularity is one ordinary double point. We construct a birational model G(n,d) of the moduli space U(n, d) of stable torsion free sheaves in the case (n,d)=1, such that G(n,d) has normal crossing singularities and behaves well under specialization i.e. if a smooth projective curve specializes to X0, then the moduli space of stable vector bundles of rank n and degreed on X specializes to G(n,d). This generalizes an earlier work of Gieseker in the rank two case.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Torsion Free Sheaves; Gieseker Functor; Moduli
ID Code:62568
Deposited On:22 Sep 2011 03:01
Last Modified:18 May 2016 11:47

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