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…
Uniform rational polytopes for Iitaka dimensions
Guodu Chen, Jingjun Han, Jihao Liu
In this paper, we continue to develop the theories on functional pairs and uniform rational polytopes. We show that there is a uniform perturbation for Iitaka dimensions of pseudo-…
Birational boundedness of rationally connected log Calabi-Yau pairs with fixed index
Jingjun Han, Chen Jiang
We show that the set of rationally connected projective varieties of a fixed dimension such that is klt, and is Cartier and nef for some fixed positive inte…
ACC for minimal log discrepancies of terminal threefolds
Jingjun Han, Jihao Liu, Yujie Luo
We prove that the ACC conjecture for minimal log discrepancies holds for threefolds in , where only depends on the coefficient set. We also study Reid's genera…
Shokurov's conjecture on conic bundles with canonical singularities
Jingjun Han, Chen Jiang, Yujie Luo
A conic bundle is a contraction between normal varieties of relative dimension such that is relatively ample. We prove a conjecture of Shokurov which predicts t…
ACC for local volumes and boundedness of singularities
Jingjun Han, Yuchen Liu, Lu Qi
The ACC conjecture for local volumes predicts that the set of local volumes of klt singularities satisfies the ACC if the coefficients of belong to a DCC set. In t…
Effective birationality for sub-pairs with real coefficients
Jingjun Han, Jihao Liu
For -lc Fano type varieties of dimension and a given finite set , we show that there exists a positive integer which only depends on and , such that bo…
On boundedness of divisors computing minimal log discrepancies for surfaces
Jingjun Han, Yujie Luo
Let be a finite set, and a fixed klt germ. For any lc germ such that , Nakamura's conjecture, which is equivalent to the ACC co…
Boundedness of -Complements for Surfaces
Guodu Chen, Jingjun Han
We show the existence of -complements for -complementary surface pairs when the coefficients of boundaries belong to a DCC set.
On a generalized canonical bundle formula for generically finite morphisms
Jingjun Han, Wenfei Liu
We prove a canonical bundle formula for generically finite morphisms in the setting of generalized pairs (with -coefficients). This complements Filipazzi's canonical bu…
Bounded deformations of -log canonical singularities
Jingjun Han, Jihao Liu, Joaquín Moraga
In this paper we study -lc singularites, i.e. -lc singularities admitting a -plt blow-up. We prove that -dimensional -lc singularities are bounded up to a de…
ACC for minimal log discrepancies of exceptional singularities
Jingjun Han, Jihao Liu, V. V. Shokurov
We prove the existence of -complements for pairs with DCC coefficients and the ACC for minimal log discrepancies of exceptional singularities. In order to prove these results, w…
On accumulation points of pseudo-effective thresholds
Jingjun Han, Zhan Li
We characterize a -th accumulation point of pseudo-effective thresholds of -dimensional varieties as certain invariant associates to a numerically trivial pair of an -…
On numerical nonvanishing for generalized log canonical pairs
Jingjun Han, Wenfei Liu
The nonvanishing conjecture for projective log canonical pairs plays a key role in the minimal model program of higher dimensional algebraic geometry. The numerical nonvanishing co…
Weak Zariski decompositions and log terminal models for generalized polarized pairs
Jingjun Han, Zhan Li
We show that the existence of a birational weak Zariski decomposition for a pseudo-effective generalized polarized lc pair is equivalent to the existence of a generalized polarized…
Birational boundedness of rationally connected Calabi-Yau 3-folds
Weichung Chen, Gabriele Di Cerbo, Jingjun Han +2
We prove that rationally connected Calabi--Yau 3-folds with kawamata log terminal (klt) singularities form a birationally bounded family, or more generally, rationally connected $3…
On a connectedness principle of Shokurov-Kollár type
Christopher D. Hacon, Jingjun Han
Let be a log pair over , such that is nef over . It is conjectured that the intersection of the non-klt (non Kawamata log terminal) locus of with a…
On Fujita's conjecture for pseudo-effective thresholds
Jingjun Han, Zhan Li
We show Fujita's spectrum conjecture for -log canonical pairs and Fujita's log spectrum conjecture for log canonical pairs. Then, we generalize the pseudo-effective threshold of…
ACC for log canonical threshold polytopes
Jingjun Han, Zhan Li, Lu Qi
We show that the log canonical threshold polytopes of varieties with log canonical singularities satisfy the ascending chain condition.