### Electronic Research Archive

2021, Issue 5: 3193-3203. doi: 10.3934/era.2021033
Special Issues

# Relative mmp without $\mathbb{Q}$-factoriality

• Received: 01 December 2020 Revised: 01 February 2021 Published: 15 April 2021
• Primary: 14E30, 14E05, 14J17; Secondary: 14F17, 14J40

• We consider the minimal model program for varieties that are not $\mathbb{Q}$-factorial. We show that, in many cases, its steps are simpler than expected. The main applications are to log terminal singularities, removing the earlier $\mathbb{Q}$-factoriality assumption from several theorems of Hacon-Witaszek and de Fernex-Kollár-Xu.

Citation: János Kollár. Relative mmp without $\mathbb{Q}$-factoriality[J]. Electronic Research Archive, 2021, 29(5): 3193-3203. doi: 10.3934/era.2021033

### Related Papers:

• We consider the minimal model program for varieties that are not $\mathbb{Q}$-factorial. We show that, in many cases, its steps are simpler than expected. The main applications are to log terminal singularities, removing the earlier $\mathbb{Q}$-factoriality assumption from several theorems of Hacon-Witaszek and de Fernex-Kollár-Xu.

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