38 citations · 67 across the 18 of their papers we have counts for
9 papers · 1 filter
Minimal model program for algebraically integrable foliations and generalized pairs
Guodu Chen, Jingjun Han, Jihao Liu +1
Using techniques from the theory of foliations, we establish the cone theorem and the contraction theorem for lc generalized pairs in full generality, and meanwhile develop the min…
The minimal volume of surfaces of log general type with non-empty non-klt locus
Jihao Liu, Wenfei Liu
We show that the minimal volume of surfaces of log general type, with non-empty non-klt locus on the ample model, is . Furthermore, the ample model achieving the…
ACC for lc thresholds for algebraically integrable foliations
Omprokash Das, Jihao Liu, Roktim Mascharak
We prove the ACC for lc thresholds and the global ACC for algebraically integrable foliations and provide applications.
Uniform rational polytopes of foliated threefolds and the global ACC
Jihao Liu, Fanjun Meng, Lingyao Xie
In this paper, we show the existence of uniform rational lc polytopes for foliations with functional boundaries in dimension . As an application, we prove the global ACC fo…
Optimal bounds on surfaces
Jihao Liu, V. V. Shokurov
We prove that the first gap of -complementary thresholds of surfaces is . More precisely, the largest -complementary threshold for surfaces that…
Vanishing theorems for generalized pairs
Bingyi Chen, Jihao Liu, Lingyao Xie
We establish the Kodaira vanishing theorem and the Kawamata-Viehweg vanishing theorem for lc generalized pairs. As a consequence, we provide a new proof of the base-point-freeness…
Complements, index theorem, and minimal log discrepancies of foliated surface singularities
Jihao Liu, Fanjun Meng, Lingyao Xie
We present an extension of several results on pairs and varieties to foliated surface pairs. We prove the boundedness of local complements, the local index theorem, and the uniform…
On global ACC for foliated threefolds
Jihao Liu, Yujie Luo, Fanjun Meng
In this paper, we prove the rational coefficient case of the global ACC for foliated threefolds. Specifically, we consider any lc foliated log Calabi-Yau triple …
On effective log Iitaka fibrations and existence of complements
Guodu Chen, Jingjun Han, Jihao Liu
We study the relationship between Iitaka fibrations and the conjecture on the existence of complements, assuming the good minimal model conjecture. In one direction, we show that t…