Proves existence of good minimal models for Kähler klt pairs (X, B) with projective Albanese map assuming the general fiber has one.
Transcendental minimal model program for projective varieties
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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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UNVERDICTED 2representative citing papers
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 curve classes.
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On the Existence of Good Minimal Models for K\"ahler Varieties with Projective Albanese Map
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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A note on the transcendental basepoint-free conjecture for Calabi-Yau manifolds
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 curve classes.