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arXiv · 0810.4392

Moduli of Stable Sheaves on a Smooth Quadric in $\PP_3$

Sukmoon Huh
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Abstract

We prove that the moduli space of stable sheaves of rank 2 with a certain Chern classes on a smooth quadric $Q$ in $\PP_3$, is isomorphic to $\PP_3$. Using this identification, we give a new proof that a certain Brill-Noether locus on a non-hyperelliptic curve of genus 4, is isomorphic to the Donagi-Izadi cubic threefold.

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Sukmoon Huh. 2008-12-10. Moduli of Stable Sheaves on a Smooth Quadric in $\PP_3$. https://arxiv.org/abs/0810.4392

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