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. The main applications are to log terminal singularities, removing the earlier Q-factoriality assumption from several theorems of Hacon-Witaszek and de Fernex-Kollar-Xu.
All Science Journal Classification (ASJC) codes
- dlt singularity
- Minimal model
- vanishing theorems