On the geometry of algebraic groups and homogeneous spaces
Algebraic Geometry
2011-01-18 v2
Abstract
Given a connected algebraic group G over an algebraically closed field and a G-homogeneous space X, we describe the Chow ring of G and the rational Chow ring of X, with special attention to the Picard group. Also, we investigate the Albanese and the "anti-affine" fibrations of G and X.
Keywords
Cite
@article{arxiv.0909.5014,
title = {On the geometry of algebraic groups and homogeneous spaces},
author = {Michel Brion},
journal= {arXiv preprint arXiv:0909.5014},
year = {2011}
}
Comments
An error in the proof of Theorem 3.5 is corrected