Unitary grassmannians
Algebraic Geometry
2012-04-03 v1
Abstract
We study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspaces of a hermitian form over a field, the main result saying that these grassmannians are 2-incompressible if the hermitian form is generic. Applications to orthogonal grassmannians are provided.
Cite
@article{arxiv.1204.0379,
title = {Unitary grassmannians},
author = {Nikita A. Karpenko},
journal= {arXiv preprint arXiv:1204.0379},
year = {2012}
}
Comments
25 pages