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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

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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 1 Pith paper

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  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.

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