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math.AG2022★ 1 cited
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-…
math.AG2022
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.AG2022
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…