177 citations · 1.9k across the 60 of their papers we have counts for
4 papers · 1 filter
Exceptional collections for Grassmannians of isotropic lines
Alexander Kuznetsov
We construct a full exceptional collection of vector bundles in the derived category of coherent sheaves on the Grassmannian of isotropic two-dimensional subspaces in a symplectic…
Derived Categories of Quadric Fibrations and Intersections of Quadrics
Alexander Kuznetsov
We construct a semiorthogonal decomposition of the derived category of coherent sheaves on a quadric fibration consisting of several copies of the derived category of the base of t…
Homological Projective Duality
Alexander Kuznetsov
We introduce a notion of Homological Projective Duality for smooth algebraic varieties in dual projective spaces, a homological extension of the classical projective duality. If al…
Hyperplane sections and derived categories
Alexander Kuznetsov
We give a generalization of the theorem of Bondal and Orlov about the derived categories of coherent sheaves on intersections of quadrics revealing its relation to projective duali…