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Abstracts Category : Other
Higher Dimensional Foliated Mori Theory
by Calum Spicer
| Institution: | University of California San Diego |
|---|---|
| Department: | |
| Degree: | |
| Year: | 2017 |
| Keywords: | Mathematics; Algebraic Geometry; Birational Geometry; Dynamical Systems; Foliations |
| Posted: | 2/1/2018 12:00:00 AM |
| Record ID: | 2178521 |
| Full text PDF: | http://www.escholarship.org/uc/item/6b09m4t1 |
Abstract
We develop some foundational results in a higher dimensional foliated Mori theory, andshow how these results can be used to prove a structure theorem for the Kleiman-Mori coneof curves in terms of the numerical properties of K_{ for rank 2 foliationson threefolds. We also make progresstoward realizing a minimal model program for rank 2 foliations on threefolds.
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