8 citations · 28 across the 10 of their papers we have counts for
12 papers
Transverse rational curves and the LeBrun--Salamon conjecture
Zhengyu Hu, Kefeng Liu, Xueyuan Wan
We prove that every compact connected positive quaternionic--Kähler manifold of real dimension with is isometric to a Wolf space after rescaling the metric by a positi…
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 -trivial MMPs whose steps are trivial with respect to a given nef divisor , and an inductive method for generalised pairs without the NQC assumption. For such an 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…
Log canonical pairs over varieties with maximal Albanese dimension
Zhengyu Hu
Let be a log canonical pair over a normal variety with maximal Albanese dimension. If is relatively abundant over (for example, is relatively big ov…
Log canonical pairs with boundaries containing ample divisors
Zhengyu Hu
Let be a projective log canonical pair such that where is an ample -divisor. We prove that either has a good minimal model or a Mor…
Valuative multiplier ideals
Zhengyu Hu
The main goal of this paper is to construct an algebraic analogue of quasi-plurisubharmonic function (qpsh for short) from complex analysis and geometry. We define a notion of qpsh…
Log canonical pairs with good augmented base loci
Caucher Birkar, Zhengyu Hu
Let be a projective log canonical pair such that is a $\Q$-divisor, and that there is a surjective morphism onto a normal variety satisfying: $K_X+…
On log minimal models and Zariski decompositions II
Caucher Birkar, Zhengyu Hu
We continue our study of the relation between log minimal models and various types of Zariski decompositions. Let be a projective log canonical pair. We will show that $(X,…