5 citations · 5 across the 5 of their papers we have counts for
6 papers
Potential density of rational points on sextic double solids
Ivan Cheltsov, Yuri Tschinkel
We provide examples of smooth sextic double solids with potentially dense sets of rational points, over any field of characteristic zero.
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…
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.
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…
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…
Tamagawa numbers of diagonal cubic surfaces of higher rank
E. Peyre, Y. Tschinkel
We consider diagonal cubic surfaces defined by an equation of the form ax^3+by^3+cz^3+dt^3 = 0. Numerically, one can find all rational points of height < B for B in the range of up…