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

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

2008-10-24

arxiv.org/abs/0810.4392v2

Mathematics

Algebraic Geometry

9 pages, any comments are welcome

Scientific paper

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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