3 papers
math.AG2026
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…
math.AG2026
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…
math.AG2025
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.