activity
20212026
most citedUniversal torsors over quartic del Pezzo surfaces and stable rationality

5 citations · 5 across the 12 of their papers we have counts for

collaborators

15 papers

math.AG2026★ 5 cited

Universal torsors over quartic del Pezzo surfaces and stable rationality

Yuri Tschinkel, Zhijia Zhang

Let be a smooth quartic del Pezzo surface over a field , of characteristic zero. We prove that a universal torsor over is -rational, provided $\mathcal T…

math.AG2026

Birational invariance of higher Amitsur groups

Federico Scavia, Yuri Tschinkel, Zhijia Zhang

Let be a field of characteristic zero and a finite group. We prove that for all , the th Amitsur group is a stable -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…

math.AG2025

Equivariant unirationality of tori in small dimensions

Yuri Tschinkel, Zhijia Zhang

We study equivariant unirationality of actions of finite groups on tori of small dimensions.

math.AG2025

Conjugacy classes of linear actions in the plane Cremona group

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

We classify regular generically free actions of finite groups on the projective plane, up to conjugation in the Cremona group.

math.AG2025

Equivariant geometry of cubic threefolds with non-isolated singularities

Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel +1

We study linearizability of actions of finite groups on cubic threefolds with non-isolated singularities.

math.AG2025

Cohomological obstructions to equivariant unirationality

Yuri Tschinkel, Zhijia Zhang

We study cohomological obstructions to equivariant unirationality, with special regard to actions of finite groups on del Pezzo surfaces and Fano threefolds.

math.AG2025

Equivariant unirationality of Fano threefolds

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

We study unirationality of actions of finite groups on Fano threefolds.

math.AG2024

Rationality of singular cubic threefolds over

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

We study rationality properties of real singular cubic threefolds.

math.AG2024

Stable equivariant birationalities of cubic and degree 14 Fano threefolds

Yuri Tschinkel, Zhijia Zhang

We develop an equivariant version of the Pfaffian-Grassmannian correspondence and apply it to produce examples of nontrivial twisted equivariant stable birationalities between cubi…

math.NT2024

Modular Symbols and Equivariant Birational Invariants

Zhijia Zhang

We study relations between the classical modular symbols associated with congruence subgroups and Kontsevich-Pestun-Tschinkel groups associated with finite abeli…

math.AG2024

Equivariant geometry of singular cubic threefolds, II

Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel +1

We study linearizability of actions of finite groups on cubic threefolds with nonnodal isolated singularities.

math.AG2024

Rationality of forms of

Brendan Hassett, Yuri Tschinkel, Zhijia Zhang

We study equivariant geometry and rationality of moduli spaces of points on the projective line, for twists associated with permutations of the points.

math.AG2024

Equivariant geometry of singular cubic threefolds

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minim…

math.AG2021

Combinatorial Burnside groups

Yuri Tschinkel, Kaiqi Yang, Zhijia Zhang

We study the structure of combinatorial Burnside groups, which receive equivariant birational invariants of actions of finite groups on algebraic varieties.