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arXiv · 2105.13590

Existence of flips for generalized lc pairs

Christopher D. Hacon·Jihao Liu
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Abstract

We prove the existence of flips for $\mathbb Q$-factorial NQC generalized lc pairs, and the cone and contraction theorems for NQC generalized lc pairs. This answers a question of C. Birkar which was conjectured by J. Han and Z. Li. As an immediate application, we show that we can run the minimal model program for $\mathbb Q$-factorial NQC generalized lc pairs. In particular, we complete the minimal model program for $\mathbb Q$-factorial NQC generalized lc pairs in dimension $\leq 3$ and pseudo-effective $\mathbb Q$-factorial NQC generalized lc pairs in dimension $4$.

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Christopher D. Hacon, Jihao Liu. 2021-09-09. Existence of flips for generalized lc pairs. https://arxiv.org/abs/2105.13590

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