Anticanonical minimal models and Zariski decomposition

Sungwook Jang · arXiv (Cornell University) · 2024

Birkar and Hu showed that if a pair $(X,Δ)$ is lc and $K_{X}+Δ$ admits a birational Zariski decomposition, then $(X,Δ)$ has a minimal model. Analogously, we prove that if a pair $(X,Δ)$ is pklt and $-(K_{X}+Δ)$ admits a birational Zariski decomposition, then $(X,Δ)$ has an anticanonical minimal

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