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Anticanonical minimal models and Zariski decomposition

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arxiv 2405.10533 v2 pith:7F3BDD4W submitted 2024-05-17 math.AG

Sungwook Jang This is my paper · ORCID
classification math.AG
keywords deltadecompositionminimalzariskiadmitsanticanonicalbirationalpair
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abstract

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

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $P$-trivial MMP, Zariski decompositions and minimal models for generalised pairs

    math.AG 2025-01 conditional novelty 7.0 of 10

    A P-trivial MMP is introduced and used to show that several classes of generalised klt and lc pairs with Nakayama-Zariski decompositions have minimal models.

  2. On minimal model program and Zariski decomposition of potential triples

    math.AG 2025-02 conditional novelty 5.0 of 10

    If the extra divisor in a potential triple admits a birational Zariski decomposition, the triple can be rewritten as a generalized pair, allowing the minimal model program to run.

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