69 citations · 615 across the 125 of their papers we have counts for
7 papers · 1 filter
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.
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…