6 citations · 30 across the 13 of their papers we have counts for
13 papers
Boundedness of complements for generalized pairs
Guodu Chen, Jingjun Han, Yang He +1
We prove the boundedness of complements for Fano type generalized pairs (with the boundary coefficient set ) after Shokurov.
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…
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-…
On multiplicities of fibers of Fano fibrations
Guodu Chen, Chuyu Zhou
In this note, we reduce various conjectures in birational geometry, including Shokurov conjecture on singularities of the base of log Calabi-Yau fibrations of Fano type and bounded…
Degeneration of log Calabi-Yau pairs via log canonical places
Guodu Chen, Chuyu Zhou
Let be a projective log canonical Calabi-Yau pair and an ample -line bundle on , we show that there is a correspondence between lc places of an…
Weakly special test configurations of log canonical Fano varieties
Guodu Chen, Chuyu Zhou
Let be a strictly log canonical Fano variety, we show that every lc place of complements is dreamy, and there exists a correspondence between weakly special test configurations…
On the termination of flips for log canonical generalized pairs
Guodu Chen, Nikolaos Tsakanikas
We prove the termination of flips for 4-dimensional pseudo-effective NQC log canonical generalized pairs. As main ingredients, we verify the termination of flips for 3-dimensional…
Boundedness of ()-Complements for projective generalized pairs of Fano type
Guodu Chen, Qingyuan Xue
We show the existence of -complements for $(ε,\Rr)$-complementary projective generalized pairs of Fano type when either the coefficients of and belong to…
Boundedness of -complements for generalized pairs
Guodu Chen
We show the existence of -complements for generalized pairs with additional Diophantine approximation properties when the coefficients of boundaries belong to a DCC set.
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.