7 citations · 24 across the 15 of their papers we have counts for
15 papers
Variation of algebraically integrable adjoint foliated structures
Paolo Cascini, Jihao Liu, Fanjun Meng +2
Given a canonical algebraically integrable foliation on a klt projective variety, we study the variation of the ample models of the associated adjoint foliated structures with resp…
On finite generation and boundedness of adjoint foliated structures
Paolo Cascini, Jingjun Han, Jihao Liu +4
We prove the existence of good minimal models for any klt algebraically integrable adjoint foliated structure of general type, and that Fano algebraically integrable adjoint foliat…
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…
Minimal model program for algebraically integrable foliations on klt varieties
Jihao Liu, Fanjun Meng, Lingyao Xie
For lc algebraically integrable foliations on klt varieties, we prove the base-point-freeness theorem, the contraction theorem, and the existence of flips. The first result resolve…
On surjective morphisms to abelian varieties and a generalization of the Iitaka conjecture
Fanjun Meng
We explore the relationship between fibrations arising naturally from a surjective morphism to an abelian variety. These fibrations encode geometric information about the morphism.…
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…
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 …
Infinitesimal structure of log canonical thresholds
Jihao Liu, Fanjun Meng, Lingyao Xie
We show that log canonical thresholds of fixed dimension are standardized. More precisely, we show that any sequence of log canonical thresholds in fixed dimension accumulates…
Estimates on the Kodaira dimension for fibrations over abelian varieties
Fanjun Meng
We give estimates on the Kodaira dimension for fibrations over abelian varieties, and give some applications. One of the results strengthens the subadditivity of Kodaira dimension…
Kodaira dimension of fibrations over abelian varieties
Fanjun Meng, Mihnea Popa
We prove an additivity result for the log Kodaira dimension of algebraic fiber spaces over abelian varieties, a superadditivity result for fiber spaces over varieties of maximal Al…
On vanishing and torsion-freeness results for adjoint pairs
Fanjun Meng
We prove some vanishing and torsion-freeness results for higher direct images of adjoint pairs satisfying relative abundance and nefness conditions. These are applied to generic va…
Pushforwards of klt pairs under morphisms to abelian varieties
Fanjun Meng
Let be a morphism from a klt pair to an abelian variety , a rational number and a Cartier divisor on such that . We prov…
Some non-vanishing results on log canonical pairs of dimension 4
Fanjun Meng
Let be a log canonical pair over with a normal projective variety, an effective -divisor, and nef. We give a non-vanishing criterio…
On Nonvanishing for uniruled log canonical pairs
Vladimir Lazić, Fanjun Meng
We prove the Nonvanishing conjecture for uniruled projective log canonical pairs of dimension , assuming the Nonvanishing conjecture for smooth projective varieties in dimension…