Generalizes the DCC property of Iitaka volumes to real coefficients on usual pairs and establishes it for generalised pairs with natural boundedness assumptions.
Singularities on Fano fibrations and beyond
5 Pith papers cite this work. Polarity classification is still indexing.
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Algebraically integrable foliations of fixed dimension and bounded adjoint volume are log birationally bounded, which implies birational boundedness for stable families of maximal variation.
Constructs smooth projective Calabi-Yau varieties in every dimension with doubly exponentially growing index and Betti numbers, conjectured maximal.
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.
The normalization of the moduli space of polarized klt good minimal models of arbitrary Kodaira dimension is quasi-projective.
citing papers explorer
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On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs
Generalizes the DCC property of Iitaka volumes to real coefficients on usual pairs and establishes it for generalised pairs with natural boundedness assumptions.
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Birational boundedness of stable families
Algebraically integrable foliations of fixed dimension and bounded adjoint volume are log birationally bounded, which implies birational boundedness for stable families of maximal variation.
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Smooth Calabi-Yau varieties with large index and Betti numbers
Constructs smooth projective Calabi-Yau varieties in every dimension with doubly exponentially growing index and Betti numbers, conjectured maximal.
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On the minimal model theory for generalized pairs of relative log numerical dimension zero
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.
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Quasi-Projective Moduli for Polarized klt Good Minimal Models
The normalization of the moduli space of polarized klt good minimal models of arbitrary Kodaira dimension is quasi-projective.