Publication

Remarks on the existence of minimal models of log canonical generalized pairs

Nikolaos Tsakanikas
2024
Journal Articles

Abstract

Given an NQC log canonical generalized pair (X, B + M) whose underlying variety X is not necessarily Q-factorial, we show that one may run a (KX + B + M)-MMP with scaling of an ample divisor which terminates, provided that (X, B + M) has a minimal model in a weaker sense or that KX + B + M is not pseudo-effective. We also prove the existence of minimal models of pseudo-effective NQC log canonical generalized pairs under various additional assumptions, for instance when the boundary contains an ample divisor.

Official source

https://infoscience.epfl.ch/entities/publication/c3660923-4c9a-40c1-8dc1-fb070c091e49

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