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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 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…
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…
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 can…