On the geometry of algebraic groups and homogeneous spaces

Michel Brion (1)

1 IF - Institut Fourier

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.

Mots clés: Algebraic group; homogeneous space; Chow group; Picard group.; Picard group

Domaines: Géométrie algébrique [math.AG]

Michel Brion. On the geometry of algebraic groups and homogeneous spaces. 2009. ⟨hal-00420034v2⟩