Classification of affine homogeneous spaces of complexity one
Algebraic Geometry
2015-06-26 v1 Symplectic Geometry
Abstract
The complexity of an action of a reductive algebraic group G on an algebraic variety X is the codimension of a generic B-orbit in X, where B is a Borel subgroup of G. We classify affine homogeneous spaces G/H of complexity one. These results are the natural continuation of the classification of spherical affine homogeneous spaces, i.e., spaces of complexity zero.
Keywords
Cite
@article{arxiv.math/0408101,
title = {Classification of affine homogeneous spaces of complexity one},
author = {Ivan V. Arzhantsev and Olga V. Chuvashova},
journal= {arXiv preprint arXiv:math/0408101},
year = {2015}
}
Comments
22 pages, 7 tables