Families of commuting automorphisms, and a characterization of the affine space
arXiv:1912.01567
Abstract
In this paper we show that an affine space is determined by the abstract group structure of its group of regular automorphisms in the category of connected affine varieties. To prove this we study commutative subgroups of the group of automorphisms of affine varieties.
21 pages, final version, to appear in Amer. J. Math