Uniqueness of embeddings of the affine line into algebraic groups-Reference-Cited by-同舟云学术

Uniqueness of embeddings of the affine line into algebraic groups

Published:2019-05-31 Issue:4 Volume:28 Page:649-698
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Feller Peter,van Santen Immanuel

Abstract

Let Y Y be the underlying variety of a complex connected affine algebraic group. We prove that two embeddings of the affine line C \mathbb {C} into Y Y are the same up to an automorphism of Y Y provided that Y Y is not isomorphic to a product of a torus ( C ∗ ) k (\mathbb {C}^\ast )^k and one of the three varieties C 3 \mathbb {C}^3 , SL 2 \operatorname {SL}_2 , and PSL 2 \operatorname {PSL}_2 .

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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