69 citations · 615 across the 125 of their papers we have counts for
114 papers · 1 filter
Witt rings, Pfister forms, and equivariant birational geometry
Brendan Hassett, Yuri Tschinkel
We study equivariant birational geometry of quadrics with actions of finite groups and develop analogs of Witt groups and Pfister theory in the equivariant context.
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 unirationality of tori in small dimensions
Yuri Tschinkel, Zhijia Zhang
We study equivariant unirationality of actions of finite groups on tori of small dimensions.
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…
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.
Equivariant unirationality of toric varieties
Andrew Kresch, Yuri Tschinkel
We introduce a torsor-theoretic obstruction to equivariant unirationality and show that it is also sufficient for actions of finite groups on toric varieties arising from automorph…
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.
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.
Equivariant unirationality of Fano threefolds
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
We study unirationality of actions of finite groups on Fano threefolds.
Rationality of singular cubic threefolds over
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
We study rationality properties of real singular cubic threefolds.
Equivariant geometry of low-dimensional quadrics
Brendan Hassett, Yuri Tschinkel
We provide new stable linearizability constructions for regular actions of finite groups on homogeneous spaces and low-dimensional quadrics.
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…
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.
Intermediate Jacobians and linearizability
Tudor Ciurca, Sho Tanimoto, Yuri Tschinkel
We develop an equivariant version of the formalism of intermediate Jacobian torsor obstructions, and apply it to conic bundles over rational surfaces, quadric surface bundles over…
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.
Unramified Brauer group of quotient spaces by finite groups
Andrew Kresch, Yuri Tschinkel
We provide a general algorithm for the computation of the unramified Brauer group of quotients of rational varieties by finite groups.
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…
Birational geometry of Deligne-Mumford stacks
Andrew Kresch, Yuri Tschinkel
We investigate the birational geometry of Deligne-Mumford stacks and define new birational invariants in this context.
Equivariant birational types and derived categories
Christian Böhning, Hans-Christian Graf von Bothmer, Yuri Tschinkel
We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Equivariant geometry of the Segre cubic and the Burkhardt quartic
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
We study linearizability and stable linearizability of actions of finite groups on the Segre cubic and Burkhardt quartic, using techniques from group cohomology, birational rigidit…
Equivariant birational geometry of cubic fourfolds and derived categories
Christian Böhning, Hans-Christian Graf von Bothmer, Yuri Tschinkel
We study equivariant birationality from the perspective of derived categories. We produce examples of nonlinearizable but stably linearizable actions of finite groups on smooth cub…
Involutions on K3 surfaces and derived equivalence
Brendan Hassett, Yuri Tschinkel
We study involutions on K3 surfaces under conjugation by derived equivalence and more general relations, together with applications to equivariant birational geometry.
Equivariant birational geometry of linear actions
Yuri Tschinkel, Kaiqi Yang, Zhijia Zhang
We study linear actions of finite groups in small dimensions, up to equivariant birationality.