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Equivariant geometry of singular cubic threefolds

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arxiv 2401.10974 v2 pith:WYYSRY7T submitted 2024-01-19 math.AG

Ivan Cheltsov , Yuri Tschinkel , Zhijia Zhang This is my paper · ORCID
classification math.AG
keywords cubicequivariantsingularthreefoldsactionsburnsidecohomologicalfinite
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We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.

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Cited by 2 Pith papers

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  1. 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.

  2. Rationality of singular cubic threefolds over $\mathbb R$

    math.AG 2024-11 conditional novelty 6.0 of 10

    For real singular cubic threefolds with no real singular points, rationality is determined by singularity type and by the existence of real lines, planes, or cubic scrolls, with cohomological obstructions in four exce...

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