Higher-dimensional foliated Mori theory
By Calum Spicer. Compositio Mathematica, 2017
51 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/d32a8ea10569826a6875f2c5701208f10f04c39e
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Codimension 1 foliations with numerically trivial canonical class on singular spaces (2018, background): “In analogy with the case of projective varieties, one expects the numerical properties of KG to reflect geometric aspects of G (see [Bru04], [McQ08], [Spi17], [CS18], [AD13], [AD14], [AD16], [AD17b], [LPT18], [Tou08]).”