3 papers
math.AG2026
Automorphism groups of semi-rigid -varieties of complexity one
Kirill Rassolov
We prove that if is a semi-rigid normal rational affine algebraic variety with torus action of complexity one, with only constant invertible global functions and finitely gener…
math.AG2026
-homogeneous locally nilpotent derivations of trinomial algebras
Timofey Krasikov, Kirill Rassolov
A trinomial algebra is a commutative finitely generated algebra given by a system of compatible relations each of which is a polynomial with three terms. Such algebras arise as the…
math.AG2025
Homogeneous locally nilpotent derivations on trinomial varieties
Kirill Rassolov
We consider the finest grading of the algebra of regular functions of a trinomial variety. An explicit description of locally nilpotent derivations that are homogeneous with respec…