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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139047In 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 $G$.Algebraic GeometryAffinity criterion for the quotient of an algebraic group by a one-dimensional subgrouptext