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On generalized lc pairs with textbf b-log abundant nef part
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We study the behavior of generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part, a meticulously designed structure on algebraic varieties. We show that this structure is preserved under the canonical bundle formula and sub-adjunction formulas, and is also compatible with the non-vanishing conjecture and the abundance conjecture in the classical minimal model program.
Forward citations
Cited by 4 Pith papers
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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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On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs
The DCC property for Iitaka volumes holds for real-coefficient pairs and for generalized pairs with natural boundedness assumptions.
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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.
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