2 citations · 2 across the 4 of their papers we have counts for
7 papers
Existence of the minimal model program for log canonical generalized pairs
Zhengyu Hu, Jihao Liu
We introduce linearly decomposable (LD) generalized pairs, which serve as a workable substitute for rational decompositions in the non-NQC setting. Using LD generalized pairs, toge…
-trivial MMP, Zariski decompositions and minimal models for generalised pairs
Zhengyu Hu
We develop a theory of -trivial MMP whose each step is -trivial for a given nef divisor . As an application, we prove that, given a projective generalised klt pair $(X,B+M…
An abundance theorem for generalised pairs
Zhengyu Hu
We prove the finiteness of -representations of generalised log canonical pairs. As a consequence, we prove that, the (relative) abundance for a generalised semi-log canonical pa…
Existence of canonical models for Kawamata log terminal pairs
Zhengyu Hu
We prove that a Kawamata log terminal pair has the canonical model.
Log abundance of the moduli b-divisors of lc-trivial fibrations
Zhengyu Hu
We prove that the moduli b-divisor of an lc-trivial fibration from a log canonical pair is log abundant. The result follows from a theorem on the restriction of the moduli b-diviso…
On minimal model theory for log abundant lc pairs
Kenta Hashizume, Zhengyu Hu
Under the assumption of the minimal model theory for projective klt pairs of dimension , we establish the minimal model theory for lc pairs such that the log canonical…