Burnside groups and orbifold invariants of birational maps
Andrew Kresch, Yuri Tschinkel
TL;DR
This paper introduces new invariants for equivariant birational isomorphisms using equivariant Burnside groups, providing a novel algebraic tool for studying birational geometry with group actions.
Contribution
It develops a new class of invariants based on equivariant Burnside groups, advancing the understanding of equivariant birational maps.
Findings
New invariants for equivariant birational isomorphisms
Application of equivariant Burnside groups in algebraic geometry
Enhanced tools for classifying birational maps with symmetries
Abstract
We construct new invariants of equivariant birational isomorphisms taking values in equivariant Burnside groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry