Exceptional collections for Grassmannians of isotropic lines
Algebraic Geometry
2014-02-26 v2
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 and in the derived category of coherent sheaves on the Grassmannian of isotropic two-dimensional subspaces in an orthogonal vector space of dimension for all .
Cite
@article{arxiv.math/0512013,
title = {Exceptional collections for Grassmannians of isotropic lines},
author = {Alexander Kuznetsov},
journal= {arXiv preprint arXiv:math/0512013},
year = {2014}
}
Comments
26 pages; thoroughly revised - a construction of a full exceptional collection for the orthogonal isotropic Grassmannian OGR(2,2n+1) is included