Spinor Sheaves on Singular Quadrics

Details Spinor Sheaves on Singular Quadrics Spinor Sheaves on Singular Quadrics

2009-04-10

arxiv.org/abs/0904.1766v3

Mathematics

Algebraic Geometry

15 pages, exposition revamped, submitted version

Scientific paper

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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