Spinor sheaves on singular quadrics
Algebraic Geometry
2016-08-19 v4
Abstract
We define reflexive sheaves on a singular quadric Q that generalize the spinor bundles on smooth quadrics, using matrix factorizations of the equation of Q. We study the first properties of these spinor sheaves, give a Horrocks-type criterion, and show that they are semi-stable, and indeed stable in some cases.
Cite
@article{arxiv.0904.1766,
title = {Spinor sheaves on singular quadrics},
author = {Nicolas Addington},
journal= {arXiv preprint arXiv:0904.1766},
year = {2016}
}
Comments
15 pages; some typos I've been meaning to correct for years