Semi-ampleness of generalized pairs

Jihao Liu, Lingyao Xie

Published 2022-10-04Version 1

We establish a Koll\'ar-type gluing theory for generalized log canonical pairs associated with crepant log structures and use it to prove semi-ampleness results of generalized pairs. As consequences, we prove the existence of flips for any generalized log canonical pair, and show that generalized log canonical singularities are Du Bois.