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Exceptional collections for Grassmannians of isotropic lines

Research paper by Alexander Kuznetsov

Indexed on: 27 Dec '06Published on: 27 Dec '06Published in: Mathematics - Algebraic Geometry



Abstract

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 vector space of dimension $2n$ and in the derived category of coherent sheaves on the Grassmannian of isotropic two-dimensional subspaces in an orthogonal vector space of dimension $2n + 1$ for all $n$.