Rationality of Moduli space over reducible curve

Arijit Dey; B. N. Suhas

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arXiv · 1610.06297

Rationality of Moduli space over reducible curve

Arijit Dey·B. N. Suhas

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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.

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BibTeX RIS

Arijit Dey, B. N. Suhas. 2016-10-20. Rationality of Moduli space over reducible curve. https://arxiv.org/abs/1610.06297

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