Spinor sheaves on singular quadrics
arXiv:0904.1766 · doi:10.1090/S0002-9939-2011-10819-0
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.
15 pages; some typos I've been meaning to correct for years