Torsors and stable equivariant birational geometry
Brendan Hassett, Yuri Tschinkel
TL;DR
This paper develops a formalism for universal torsors within equivariant birational geometry, leading to new examples of finite group actions that are nonbirational but become stably birational.
Contribution
It introduces a novel formalism for universal torsors in equivariant birational geometry and applies it to generate new examples of group actions with specific birational properties.
Findings
New examples of nonbirational but stably birational group actions
Development of a formalism for universal torsors in equivariant settings
Advancement in understanding equivariant birational geometry
Abstract
We develop the formalism of universal torsors in equivariant birational geometry and apply it to produce new examples of nonbirational but stably birational actions of finite groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology