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Higher dimensional foliated Mori theory

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arxiv 1709.06850 v4 pith:YQO6B7RR submitted 2017-09-20 math.AG math.DS

Calum Spicer This is my paper · ORCID
classification math.AGmath.DS
keywords dimensionalfoliatedfoliationshighermorirankresultstheory
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abstract

We develop some basic results in a higher dimensional foliated Mori theory, and show how these results can be used to prove a structure theorem for the Kleiman-Mori cone of curves in terms of the numerical properties of $K_{\mathcal{F}}$ for rank 2 foliations on threefolds. We also make progress toward realizing a minimal model program for rank 2 foliations on threefolds.

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Cited by 1 Pith paper

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

  1. 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.

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