On the geometry of algebraic groups and homogeneous spaces

Details On the geometry of algebraic groups and homogeneous spaces On the geometry of algebraic groups and homogeneous spaces

2009-09-28

arxiv.org/abs/0909.5014v2

Mathematics

Algebraic Geometry

An error in the proof of Theorem 3.5 is corrected

Scientific paper

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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