5 citations · 18 across the 17 of their papers we have counts for
13 papers · 1 filter
Minimal model program for algebraically integrable adjoint foliated structures
Paolo Cascini, Jingjun Han, Jihao Liu +4
For -factorial klt algebraically integrable adjoint foliated structures, we prove the cone theorem, the contraction theorem, and the existence of flips. Therefore, we de…
Volume of algebraically integrable foliations and locally stable families
Jingjun Han, Junpeng Jiao, Mengchu Li +1
In this paper, we study the volume of algebraically integrable foliations and locally stable families. We show that, for any canonical algebraically integrable foliation, its volum…
On explicit bounds of Fano threefolds
Caucher Birkar, Jihao Liu
In this paper, we study the explicit geometry of threefolds, in particular, Fano varieties. We find an explicitly computable positive integer , such that all but a bounded famil…
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…
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…