Degenerations of the moduli spaces of vector bundles on curves I

Nagaraj, D. S. ; Seshadri, C. S. (1997) Degenerations of the moduli spaces of vector bundles on curves I Journal of Chemical Sciences, 107 (2). pp. 101-137. ISSN 0253-4134

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Official URL: http://www.ias.ac.in/j_archive/mathsci/107/2/101-1...

Related URL: http://dx.doi.org/10.1007/BF02837721

Abstract

Let Y be a smooth projective curve degenerating to a reducible curve X with two components meeting transversally at one point. We show that the moduli space of vector bundles of rank two and odd determinant on Y degenerates to a moduli space on X which has nice properties, in particular, it has normal crossings. We also show that a nice degeneration exists when we fix the determinant. We give some conjectures concerning the degeneration of moduli space of vector bundles on Y with fixed determinant and arbitrary rank.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Nodal Curve; Torsion Free Sheaf; Moduli
ID Code:62569
Deposited On:22 Sep 2011 03:01
Last Modified:18 May 2016 11:47

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