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arxiv: 0710.0160 · v1 · submitted 2007-09-30 · 🧮 math.AG

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

classification 🧮 math.AG
keywords subgroupaffinealgebraicgroupone-dimensionalaffinitycontainedcriterion
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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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