Intermediate Jacobians and Burnside invariants

2025/11/10 by Kresch, Andrew, Tanimoto, Sho, Tschinkel, Yuri
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2511.07101

Abstract

We propose new invariants in equivariant birational geometry, combining equivariant intermediate Jacobians and the Burnside formalism, for smooth rationally connected threefolds with actions of finite groups.

Citations

• Birational Invariants from Hodge Structures and Quantum Multiplication
• Linearization problem for finite subgroups of the plane Cremona group
• Intermediate Jacobians and linearizability
• Equivariant geometry of singular cubic threefolds
• Equivariant Burnside groups and representation theory
• Equivariant geometry of odd-dimensional complete intersections of two quadrics
• Equivariant Burnside groups: structure and operations
• Symbols and equivariant birational geometry in small dimensions
• Equivariant birational types and Burnside volume

Related

• Burnside groups and orbifold invariants of birational maps
• Symbols and equivariant birational geometry in small dimensions
• Equivariant birational types and Burnside volume
• Combinatorial Burnside groups
• Equivariant geometry of singular cubic threefolds