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arXiv · 0909.5014

On the geometry of algebraic groups and homogeneous spaces

Michel Brion
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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.

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Michel Brion. 2009-09-28. On the geometry of algebraic groups and homogeneous spaces. https://arxiv.org/abs/0909.5014

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