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Weak Zariski decompositions and log terminal models for generalized polarized pairs

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arxiv 1806.01234 v2 pith:O5SCKVCT submitted 2018-06-04 math.AG

Jingjun Han , Zhan Li This is my paper · ORCID
classification math.AG
keywords generalizedpolarizedexistenceterminalweakzariskibirationaldecomposition
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We show that the existence of a birational weak Zariski decomposition for a pseudo-effective generalized polarized lc pair is equivalent to the existence of a generalized polarized log terminal model.

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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. Discreteness of volumes of divisors on Calabi-Yau type varieties

    math.AG 2025-08 conditional novelty 7.0 of 10

    Volumes of integral divisors on epsilon-lc Calabi-Yau pairs lie in a fixed discrete set, settling Birkar's boundedness conjecture for polarized log Calabi-Yau pairs.

  2. The volume function is upper semicontinuous on families of divisors

    math.AG 2025-04 conditional novelty 6.0 of 10

    The volume of a divisor on the generic fiber of a flat family equals the infimum of its volumes on any dense family of fibers, yielding upper semicontinuity for reduced irreducible fibers.

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