%0 Journal Article
%T Equivariant embeddings of commutative linear algebraic groups of corank one
%A Ivan Arzhantsev
%A Polina Kotenkova
%J Mathematics
%D 2015
%I arXiv
%X Let K be an algebraically closed field of characteristic zero, G_m=(K\{0},*) be its multiplicative group, and G_a=(K,+) be its additive group. Consider a commutative linear algebraic group G=G_m^r\times G_a. We study equivariant G-embeddings, i.e. normal G-varieties X containing G as an open orbit. We prove that X is a toric variety and all such actions of G on X correspond to Demazure roots of the fan of X. In these terms, the orbit structure of a G-variety X is described.
%U http://arxiv.org/abs/1501.03270v1