137 citations · 355 across the 48 of their papers we have counts for
54 papers
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.
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 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…
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.
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.