Rationality of moduli space of torsion-free sheaves over reducible curve

Let M(2,w̲,χ) be the moduli space of rank 2 torsion-free sheaves of fixed determinant and odd Euler characteristic over a reducible nodal curve with each irreducible component having utmost two nodal singularities. We show that in each irreducible component of M(2,w̲,χ), the closure of rank 2 vector...

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Bibliographic Details
Published in:Journal of geometry and physics 2018-06, Vol.128, p.87-98
Main Authors: Dey, Arijit, Suhas, B.N.
Format: Article
Language:English
Subjects:
Moduli space
Rationality
Vector bundles
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Summary:Let M(2,w̲,χ) be the moduli space of rank 2 torsion-free sheaves of fixed determinant and odd Euler characteristic over a reducible nodal curve with each irreducible component having utmost two nodal singularities. We show that in each irreducible component of M(2,w̲,χ), the closure of rank 2 vector bundles is rational.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2018.02.009