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math.AG2023

Equivariant birational geometry of linear actions

Yuri Tschinkel, Kaiqi Yang, Zhijia Zhang

We study linear actions of finite groups in small dimensions, up to equivariant birationality.

math.AG2021

Combinatorial Burnside groups

Yuri Tschinkel, Kaiqi Yang, Zhijia Zhang

We study the structure of combinatorial Burnside groups, which receive equivariant birational invariants of actions of finite groups on algebraic varieties.