On the Rationality of Nagaraj-Seshadri Moduli Space
Pabitra Barik, Arijit Dey, Suhas, B. N

TL;DR
This paper proves that all irreducible components of the moduli space of rank 2 torsion-free sheaves with odd Euler characteristic on a reducible nodal curve are rational, revealing their geometric simplicity.
Contribution
It establishes the rationality of moduli components for a specific class of sheaves on reducible nodal curves, a new result in algebraic geometry.
Findings
All irreducible components are rational.
The moduli space components are geometrically simple.
The result applies to sheaves with odd Euler characteristic.
Abstract
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models
