Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597248 | Journal of Pure and Applied Algebra | 2011 | 7 Pages |
Abstract
We prove that the moduli space of stable sheaves of rank 2 with the Chern classes c1=OQ(1,1) and c2=2 on a smooth quadric Q in P3 is isomorphic to P3. Using this identification, we give a new proof that a Brill–Noether locus, defined as the closure of the stable bundles with at least three linearly independent sections, on a non-hyperelliptic curve of genus 4, is isomorphic to the Donagi–Izadi cubic threefold.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory