3 papers
math.AG2025
On the Morrison-Kawamata dream space and its applications
Sung Rak Choi, Xingying Li, Zhan Li +1
We develop the theory of Morrison-Kawamata dream spaces, which axiomatizes varieties (not necessarily of Calabi-Yau type) that satisfy the Morrison-Kawamata cone conjecture. Using…
math.AG2025
Variation of cones of divisors in a family of varieties -- Fano type case
Sung Rak Choi, Zhan Li, Chuyu Zhou
We investigate the relationship between the Fano type property on fibers over a Zariski dense subset and the global Fano type property. We establish the invariance of Néron-Severi…
math.AG2024
On existence of bounded relative-global complements for Fano fibrations
Sung Rak Choi, Chuyu Zhou
For Fano fibrations with -lc singularities of a fixed dimension, we show the existence of bounded relative-global complements. If the base of the fibration is of dimension one,…