Weak Zariski decompositions and log terminal models for generalized polarized pairs

Abstract

We show that the existence of a birational weak Zariski decomposition for a pseudo-effective generalized polarized lc pair is equivalent to the existence of a generalized polarized log terminal model.

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References in corpus (2)

• On existence of log minimal models
• The diminished base locus is not always closed

Cited by in corpus (12)

• On the existence of minimal models for log canonical pairs
• Fundamental properties of basic slc-trivial fibrations, II
• Special termination for log canonical pairs
• Log abundance of the moduli b-divisors of lc-trivial fibrations
• Existence of flips for generalized lc pairs
• Finiteness of log abundant log canonical pairs in log minimal model program with scaling
• Boundedness of ($\epsilon ,n$)-Complements for projective generalized pairs of Fano type
• Effective birationality for sub-pairs with real coefficients
• Adjunction and inversion of adjunction
• On Nonvanishing for uniruled log canonical pairs
• Rational nef and anti-nef polytopes are not uniform
• An abundance theorem for generalised pairs