17 papers
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.
Homological stability and weak approximation
Sho Tanimoto, Yuri Tschinkel
We investigate homological stability for the space of sections of Fano fibrations over curves in the context of weak approximation, and establish it for projective bundles, as well…
Burnside rings and volume forms with logarithmic poles
Antoine Chambert-Loir, Maxim Kontsevich, Yuri Tschinkel
We develop a theory of Burnside rings in the context of birational equivalences of algebraic varieties equipped with logarithmic volume forms. We introduce a residue homomorphism a…
Invariants in equivariant birational geometry
Andrew Kresch, Yuri Tschinkel
We discuss invariants in equivariant birational geometry.
Intermediate Jacobians and Burnside invariants
Andrew Kresch, Sho Tanimoto, Yuri Tschinkel
We propose new invariants in equivariant birational geometry, combining equivariant intermediate Jacobians and the Burnside formalism, for smooth rationally connected threefolds wi…
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.