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Homological projective duality for quadrics

Research paper by Alexander Kuznetsov, Alexander Perry

Indexed on: 26 Feb '19Published on: 26 Feb '19Published in: arXiv - Mathematics - Algebraic Geometry



Abstract

We show that over an algebraically closed field of characteristic not equal to 2, homological projective duality for smooth quadric hypersurfaces and for double covers of projective spaces branched over smooth quadric hypersurfaces is a combination of two operations: one interchanges a quadric hypersurface with its classical projective dual and the other interchanges a quadric hypersurface with the double cover branched along it.