English

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

Algebraic Geometry 2008-12-10 v2

Abstract

We prove that the moduli space of stable sheaves of rank 2 with a certain Chern classes on a smooth quadric QQ in \PP3\PP_3, is isomorphic to \PP3\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.

Keywords

Cite

@article{arxiv.0810.4392,
  title  = {Moduli of Stable Sheaves on a Smooth Quadric in $\PP_3$},
  author = {Sukmoon Huh},
  journal= {arXiv preprint arXiv:0810.4392},
  year   = {2008}
}

Comments

9 pages, any comments are welcome