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Relative mmp without $ \mathbb{Q} $-factoriality
Author(s) -
János Kollár
Publication year - 2021
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2021033
Subject(s) - mathematics , combinatorics , discrete mathematics
We consider the minimal model program for varieties that are not \begin{document}$ \mathbb{Q}$\end{document} -factorial. We show that, in many cases, its steps are simpler than expected. The main applications are to log terminal singularities, removing the earlier \begin{document}$ \mathbb{Q} $\end{document} -factoriality assumption from several theorems of Hacon-Witaszek and de Fernex-Kollár-Xu.

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