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arXiv · 0904.1766

Spinor sheaves on singular quadrics

Nicolas Addington
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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.

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Nicolas Addington. 2009-04-10. Spinor sheaves on singular quadrics. https://doi.org/10.1090/s0002-9939-2011-10819-0

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