4 papers
math.AG2026
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.
math.AG2026
Invariants in equivariant birational geometry
Andrew Kresch, Yuri Tschinkel
We discuss invariants in equivariant birational geometry.
math.AG2025
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…
math.AG2025
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…