Equivariant geometry of the Segre cubic and the Burkhardt quartic

Ivan Cheltsov; Yuri Tschinkel; Zhijia Zhang

Equivariant geometry of the Segre cubic and the Burkhardt quartic

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arxiv 2308.15271 v2 pith:JDOL6C2S submitted 2023-08-29 math.AG

Ivan Cheltsov , Yuri Tschinkel , Zhijia Zhang This is my paper · ORCID

classification math.AG

keywords burkhardtcubiclinearizabilityquarticsegreactionsbirationalburnside

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We study linearizability and stable linearizability of actions of finite groups on the Segre cubic and Burkhardt quartic, using techniques from group cohomology, birational rigidity, and the Burnside formalism.

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Linearization problem for finite subgroups of the plane Cremona group
math.AG 2024-12 conditional novelty 8.0 of 10

A finite subgroup of the plane Cremona group is linearizable if and only if its G-Mori fibre space model is one of a short list of del Pezzo or Hirzebruch surface types, completing the linearization problem.

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