Higher dimensional foliated Mori theory
Algebraic Geometry
2019-11-20 v4 Dynamical Systems
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 for rank 2 foliations on threefolds. We also make progress toward realizing a minimal model program for rank 2 foliations on threefolds.
Cite
@article{arxiv.1709.06850,
title = {Higher dimensional foliated Mori theory},
author = {Calum Spicer},
journal= {arXiv preprint arXiv:1709.06850},
year = {2019}
}
Comments
50 pages, new version taking into account referee suggestions, published version to appear in Compositio Math