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math.AG2025
Discreteness of volumes of divisors on Calabi-Yau type varieties
Junpeng Jiao
We study the volumes of divisors in Calabi--Yau type varieties. We show that given a klt Calabi--Yau pair and an integral divisor on , the volume of is in a fixe…
math.AG2025
The volume function is upper semicontinuous on families of divisors
Junpeng Jiao
We study the behavior of volumes of divisors in a family. We show that the volume of a divisor on the generic fiber equals the infimum of its volumes on fibers over any dense subse…
math.AG2025
Boundedness of polarized log Calabi-Yau fibrations with bounded bases
Xiaowei Jiang, Junpeng Jiao, Minzhe Zhu
We investigate the boundedness problem for log Calabi-Yau fibrations whose bases and general fibers are bounded. We prove that the total spaces of log Calabi-Yau fibrations are bou…