38 citations · 162 across the 28 of their papers we have counts for
29 papers
A linear bound for Fujita's freeness conjecture
Jingjun Han
Let be a smooth complex projective variety of dimension , and let be an ample Cartier divisor. We prove that is globally generated for every integer $m\geq\lcei…
Boundedness of complements for log Calabi-Yau threefolds
Guodu Chen, Jingjun Han, Qingyuan Xue
In this paper, we study the theory of complements, introduced by Shokurov, for Calabi-Yau type varieties with the coefficient set . We show that there exists a finite set of…
On the Iitaka volumes of log canonical surfaces and threefolds
Guodu Chen, Jingjun Han, Wenfei Liu
Given positive integers , and a subset , let denote the set of Iitaka volumes of -dimensional projective log canonic…
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…
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…
On termination of flips and exceptionally non-canonical singularities
Jingjun Han, Jihao Liu
We systematically introduce and study a new type of singularities, namely, exceptionally non-canonical (enc) singularities. This class of singularities plays an important role in t…