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Equivariant embeddings of commutative linear algebraic groups of corank one

Equivariant embeddings of commutative linear algebraic groups of corank one

Let \mathbb K be an algebraically closed field of characteristic zero, \mathbb G_m=(\mathbb K\setminus{0},\times) be its multiplicative group, and \mathbb G_a=(\mathbb K,+) be its additive group. Consider a commutative linear algebraic group \mathbb G=(\mathbb G_m)^r\times\mathbb G_a . We study equivariant \mathbb G -embeddings, i.e. normal \mathbb G -varieties X containing …