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Equivariant birational geometry of cubic fourfolds and derived categories

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arxiv 2303.17678 v2 pith:PMYWLGOW submitted 2023-03-30 math.AG

Christian Böhning , Hans-Christian Graf von Bothmer , Yuri Tschinkel This is my paper · ORCID
classification math.AG
keywords categoriescubicderivedequivariantfourfoldsactionsbirationalbirationality
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We study equivariant birationality from the perspective of derived categories. We produce examples of nonlinearizable but stably linearizable actions of finite groups on smooth cubic fourfolds.

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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.

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