On the rationality of Nagaraj–Seshadri moduli space

We show that each of the irreducible components of moduli of rank 2 torsion-free sheaves with odd Euler characteristic over a reducible nodal curve is rational.

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Bibliographic Details
Published in:Bulletin des sciences mathématiques 2016-11, Vol.140 (8), p.990-1002
Main Authors: Barik, Pabitra, Dey, Arijit, Suhas, B.N.
Format: Article
Language:English
Subjects:
Moduli space
Rationality
Vector bundles
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Description
Summary:We show that each of the irreducible components of moduli of rank 2 torsion-free sheaves with odd Euler characteristic over a reducible nodal curve is rational.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2016.06.001