Existence of complements for foliations

Yen-An Chen, Dongchen Jiao, Pascale Voegtli

Published 2024-08-21Version 1

This paper demonstrates the existence of $\mathbb{Q}$-complements for algebraically integrable log-Fano foliations on klt ambient varieties. Additionally, we investigate properties of algebraically integrable Fano foliations such as a partial inversion of adjunction as well as a connectedness principle.