Relative MMP without Q-factoriality
Algebraic Geometry
2021-02-02 v2
Abstract
We consider the minimal model program for varieties that are not Q-factorial. We show that, in many cases, its steps are simpler than expected. In particular, all flips are 1-complemented. The main applications are to log terminal singularities, removing the earlier Q-factoriality assumption from several theorems of Hacon--Witaszek and de~Fernex--Koll\'ar--Xu. Version 2: many small changes.
Cite
@article{arxiv.2012.05327,
title = {Relative MMP without Q-factoriality},
author = {János Kollár},
journal= {arXiv preprint arXiv:2012.05327},
year = {2021}
}