Exceptional collections for Grassmannians of isotropic lines
arXiv:math/0512013 · doi:10.1112/plms/pdm056
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 $n$.
26 pages; thoroughly revised - a construction of a full exceptional collection for the orthogonal isotropic Grassmannian OGR(2,2n+1) is included