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math.AG2009★ 5 cited
Spinor sheaves on singular quadrics
Nicolas Addington
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 prop…
math.AG2009★ 21 cited
The Derived Category of the Intersection of Four Quadrics
Nicolas Addington
The derived category of a general complete intersection of four quadrics in P^{2n-1} has a semi-orthogonal decomposition < O(-2n+9), ..., O(-1), O, D >, where D is the derived cate…