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Higher-dimensional foliated Mori theory
- Part of
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- Journal:
- Compositio Mathematica / Volume 156 / Issue 1 / January 2020
- Published online by Cambridge University Press:
- 14 November 2019, pp. 1-38
- Print publication:
- January 2020
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- Article
- Export citation
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We develop some foundational 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 (MMP) for rank 2 foliations on threefolds.
