On the geometry of algebraic groups and homogeneous spaces

[摘要] 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 antiaffine fibrations of G and X. (C) 2010 Elsevier Inc. All rights reserved.

[发布日期] 2011-03-01

[效力级别]  Proceedings Paper

[关键词] Algebraic group;Homogeneous space;Chow ring;Albanese fibration