Affinity criterion for the quotient of an algebraic group by a one-dimensional subgroup

Details Affinity criterion for the quotient of an algebraic group by a one-dimensional subgroup Affinity criterion for the quotient of an algebraic group by a one-dimensional subgroup

2007-09-30

arxiv.org/abs/0710.0160v1

Mathematics

Algebraic Geometry

Scientific paper

In this work we show that the homogeneous space of an affine algebraic group
$G$ by a one-dimensional unipotent subgroup $H$ is affine if and only if the
subgroup is not contained in any reductive subgroup of $G$.

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