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Intermediate Jacobians and linearizability

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arxiv 2403.06047 v2 pith:INSATL3N submitted 2024-03-10 math.AG

Tudor Ciurca , Sho Tanimoto , Yuri Tschinkel This is my paper · ORCID
classification math.AG
keywords bundlesintermediateapplyconicdevelopequivariantfanoformalism
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abstract

We develop an equivariant version of the formalism of intermediate Jacobian torsor obstructions, and apply it to conic bundles over rational surfaces, quadric surface bundles over $\mathbb P^1$, and Fano threefolds.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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. Equivariant rationality of Fano threefolds in the family \textnumero 2.12

    math.AG 2025-08 conditional novelty 6.0 of 10

    A faithful group action on a smooth complete intersection of three (1,1) divisors in P^3 x P^3 is linearizable exactly when the group does not mix the two projections, i.e., when the equivariant Picard group has rank 2.

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