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- Title
Local and global applications of the Minimal Model Program for co-rank 1 foliations on threefolds.
- Authors
Spicer, Calum; Svaldi, Roberto
- Abstract
We provide several applications of the minimal model program to the local and global study of co-rank 1 foliations on threefolds. Locally, we prove a singular variant of Malgrange's theorem, a classification of terminal foliation singularities and the existence of separatrices for log canonical singularities. Globally, we prove termination of flips, a connectedness theorem on log canonical centres, a non-vanishing theorem and some hyperbolicity properties of foliations.
- Subjects
FOLIATIONS (Mathematics); EXISTENCE theorems; MATHEMATICAL connectedness; HYPERBOLIC functions; MATHEMATICAL singularities
- Publication
Journal of the European Mathematical Society (EMS Publishing), 2022, Vol 24, Issue 11, p3969
- ISSN
1435-9855
- Publication type
Article
- DOI
10.4171/JEMS/1173