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arXiv · 2604.05369

Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs

Donghyeon Kim·Dae-Won Lee
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Abstract

We give an alternative proof of the existence of the anticanonical minimal model program for potentially klt pairs, assuming the anticanonical divisor admits a birational Zariski decomposition. Moreover, we establish a structure theorem showing that any partial anticanonical MMP starting from a potentially klt pair can be lifted to a compatible sequence of nonpositive maps between the $\mathbb{Q}$-factorial terminalizations of its successive steps.

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Donghyeon Kim, Dae-Won Lee. 2026-04-07. Structure of the Anticanonical Minimal Model Program for Potentially klt Pairs. https://arxiv.org/abs/2604.05369

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