Torsion free sheaves over a nodal curve of arithmetic genus one

Bhosle, Usha N. ; Biswas, Indranil (2008) Torsion free sheaves over a nodal curve of arithmetic genus one Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 118 (1). pp. 81-98. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/mathsci/vol118/feb2008/PM2913...

Related URL: http://dx.doi.org/10.1007/s12044-008-0005-9

Abstract

We classify all isomorphism classes of stable torsionfree sheaves on an irreducible nodal curve of arithmetic genus one defined over C. Let X be a nodal curve of arithmetic genus one defined over R, with exactly one node, such that X does not have any real points apart from the node. We classify all isomorphism classes of stable real algebraic torsion free sheaves over X of even rank. We also classify all isomorphism classes of real algebraic torsion free sheaves over X of rank one.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Torsionfree Sheaves; Nodal Curve; Stability
ID Code:3410
Deposited On:11 Oct 2010 08:55
Last Modified:16 May 2016 14:13

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