4 papers
Log canonical models of a fixed variety with varying boundaries
Xingying Li, Zhan Li
Motivated by extending the Morrison-Kawamata cone conjecture beyond Calabi-Yau varieties and Severi-Maehara type finiteness results to targets not necessarily of general type, we f…
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…
Varieties with nef anticanonical divisors and Albanese morphisms of relative dimension one in positive characteristic
Tongji Gao, Zhan Li, Lei Zhang
Let be a smooth projective variety with a nef anticanonical divisor over an algebraically closed field of characteristic . In this paper, we establish a precise structure…
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…