A. Trushin

activity

20202022

collaborators

4 papers

math.AG2022

Graded automorphisms of the algebra of polynomials in three variables

Anton Trushin

Let us consider a polynomial algebra in three variables equipped with an integer grading. We construct a system of group-generating automorphisms that preserve a given grading.

math.AG2022

On the automorphism group of a toral variety

Anton Shafarevich, Anton Trushin

Let $K$ be an algebraically closed field of characteristic zero. An affine algebraic variety $X$ over $K$ is toral if it is isomorphic to a closed subvariety of a…

math.AG2021

Gradings allowing wild automorphisms

Anton Trushin

In 2004 Shestakov and Umirbaev proved that the Nagata automorphism of the polynomial algebra in three variables is wild. We fix a Z-grading on this algebra and consider graded-wild…

math.AG2020

Commutative actions on smooth projective quadrics

Viktoriia Borovik, Sergey Gaifullin, Anton Trushin

By a commutative action on a smooth quadric $Q_{n}$ in $P^{n + 1}$ we mean an effective action of a commutative connected algebraic group on $Q_{n}$ with an open orbit. We show that for…