2 papers
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 in we mean an effective action of a commutative connected algebraic group on with an open orbit. We show that for…