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math.AG2021
On Automorphisms of the Tame Polynomial Automorphism Group in Positive Characteristic
Alexei Belov-Kanel, Andrey Elishev, Jie-Tai Yu
In this paper we prove that over algebraically closed field of positive characteristic every automorphism of the group of origin-preserving automorphisms of the polyno…
math.AG2019
Torus actions on free associative algebras, lifting and Białynicki-Birula type theorems
Alexei Belov-Kanel, Andrey Elishev, Farrokh Razavinia +3
We examine the problem of the linearity of an algebraic torus action in the associative setting. We prove the free algebra analog of a classical theorem of BialynickiBirula, which…