Rationality of Moduli space over reducible curve

Arijit Dey; B. N. Suhas

Rationality of Moduli space over reducible curve

Algebraic Geometry 2016-10-21 v1

Authors: Arijit Dey , B. N. Suhas

Abstract

Let $M(2,\textbf{\underline{w}},\chi)$ be the moduli space of rank $2$ torsion-free sheaves over a reducible nodal curve with each component having utmost two nodal singularities. We show that in each component of $M(2,\textbf{\underline{w}},\chi)$ , the closure of rank $2$ vector bundles with fixed determinant is rational.

Keywords

moduli space reducible nodal curve torsion-free sheaves vector bundles rationality rank 2

Cite

@article{arxiv.1610.06297,
  title  = {Rationality of Moduli space over reducible curve},
  author = {Arijit Dey and B. N. Suhas},
  journal= {arXiv preprint arXiv:1610.06297},
  year   = {2016}
}

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