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Codimension one foliations with numerically trivial canonical class on singular spaces

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arxiv 1809.06905 v1 pith:VPPV2TQM submitted 2018-09-18 math.AG

Stéphane Druel This is my paper · ORCID
classification math.AG
keywords canonicalclasscodimensionfoliationsnumericallysingularitiestrivialarticle
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In this article, we describe the structure of codimension one foliations with canonical singularities and numerically trivial canonical class on varieties with terminal singularities, extending a result of Loray, Pereira and Touzet to this context.

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Cited by 3 Pith papers

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

  1. Foliated Minimal Models and Flops

    math.AG 2026-08 conditional novelty 8.0 of 10

    Rank one foliations with canonical singularities have unique minimal models; co-rank one threefolds admit D-flops in klt and F-dlt settings, while new examples show flops and canonical models can fail.

  2. Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds

    math.AG 2019-08 accept novelty 7.0 of 10

    The paper completes termination of the foliated minimal model program on threefolds and proves that terminal singularities admit first integrals and log canonical singularities admit separatrices.

  3. Rational Morita equivalence for holomorphic Poisson modules

    math.AG 2019-08 conditional novelty 7.0 of 10

    Every locally free Poisson module on a klt Poisson projective variety is rationally Morita equivalent to a flat partial sheaf, a meromorphic flat connection, a co-Higgs sheaf, or a special meromorphic co-Higgs sheaf.

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