On the geometry of algebraic groups and homogeneous spaces Export

@article{citeulike:5847817, 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.}, archivePrefix = {arXiv}, author = {Brion, Michel}, citeulike-article-id = {5847817}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.5014}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.5014}, day = {28}, eprint = {0909.5014}, keywords = {algebraic, and, geometry, groups, homogeneous, of, on, spaces, the}, month = {Sep}, posted-at = {2009-09-29 06:23:27}, priority = {2}, title = {On the geometry of algebraic groups and homogeneous spaces}, url = {http://arxiv.org/abs/0909.5014}, year = {2009} }

TY - JOUR ID - citeulike:5847817 L3 - citeulike-article-id:5847817 N2 - 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. TI - On the geometry of algebraic groups and homogeneous spaces KW - algebraic KW - and KW - geometry KW - groups KW - homogeneous KW - of KW - on KW - spaces KW - the AU - Brion, Michel PY - 2009/Sep/28/ UR - http://arxiv.org/abs/0909.5014 ER -