Yuri Tschinkel

collaborators

3 papers

math.AG2026

Linearizability notions in equivariant birational geometry

Andrew Kresch, Yuri Tschinkel

We discuss birational properties of actions of finite groups on algebraic varieties, linearizability, torsors, and versality.

math.AG2026

Birational invariance of higher Amitsur groups

Federico Scavia, Yuri Tschinkel, Zhijia Zhang

Let $k$ be a field of characteristic zero and $G$ a finite group. We prove that for all $n \geq 2$ , the $n$ th Amitsur group is a stable $G$ -birational invariant of smooth projective…

math.AG2026

Birational geometry of actions on del Pezzo surfaces

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

We complete the classification of regular generically free actions of finite groups on del Pezzo surfaces, up to birational equivalence. As a byproduct, we settle several open prob…