Existence of complements for foliations
Abstract
This paper demonstrates the existence of Q-complements for algebraically integrable log-Fano foliations on klt varieties.Additionally, we investigate properties of algebraically integrable Fano foliations such as a form of inversion of adjunction, which allows to infer information on the non-log canonical locus of a foliated pair from the behavior of its restriction to a normal prime divisor, as well as a foliated analog of the classical connectedness principle by Kollár on the properties of the exceptional locus.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
- Publisher
- Scuola Normale Superiore - Edizioni della Normale
- Pages
- 14–14
- Publication date
- 26 June 2026
- Language
- EN