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The log minimal model program for K\"ahler $3$-folds

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arxiv 2009.05924 v4 pith:7UGNM65Z submitted 2020-09-13 math.AG math.CV

Omprokash Das , Christopher Hacon This is my paper · ORCID
classification math.AGmath.CV
keywords ahlerminimalmodelfoldsprogramarticlebasecompact
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abstract

In this article we show that the Log Minimal Model Program for $\mathbb{Q}$-factorial dlt pairs $(X, B)$ on a compact K\"ahler $3$-fold holds. More specifically, we show that after finitely many divisorial contractions and flips we obtain either a (log) minimal model or a Mori fiber space. We also prove a base point free theorem K\"ahler $3$-folds.

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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. Bott-Chern complexity of K\"ahler pairs

    math.AG 2025-05 accept novelty 7.0 of 10

    The Bott-Chern complexity of a non-projective Calabi-Yau Kähler pair is at least 3, and this bound is attained by singular non-projective K3 surfaces with Picard rank zero.

  2. Transcendental Minimal Model Program for Projective Varieties

    math.AG 2024-12 conditional novelty 7.0 of 10

    For projective generalized klt pairs with a big divisor-plus-transcendental-form boundary, the paper establishes existence of a good minimal model or Mori fiber space, proving Tosatti's conjecture in the projective case.

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