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arxiv: 2412.07650 · v2 · pith:AXAM3D5Inew · submitted 2024-12-10 · 🧮 math.AG · math.CV

Transcendental Minimal Model Program for Projective Varieties

classification 🧮 math.AG math.CV
keywords betaprojectiveminimalmodeltranscendentaladmitsarticlebase-point-free
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In this article we prove that if $(X,B+\beta)$ is a projective generalized klt pair such that $B+\beta$ is big, then $(X,B+\beta)$ admits a good Minimal Model or Mori fiber space. In particular, this implies Tossati's transcendental base-point-free conjecture for projective manifolds.

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Cited by 3 Pith papers

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

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    Proves existence of good minimal models for Kähler klt pairs (X, B) with projective Albanese map assuming the general fiber has one.

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    Proves reduction of the transcendental basepoint-free conjecture for Calabi-Yau manifolds to hyperkähler factors and shows it holds for big nef classes on hyperkähler manifolds under a dimension condition on rational ...

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    math.AG 2026-06 unverdicted novelty 5.0

    Proves existence of numerically good minimal models for generalized klt pairs of relative log numerical dimension zero assuming Generalized Nonvanishing via a numerical generalized canonical bundle formula.