From the 1 of 5 linked papers with an AI index.
5 papers
Boundedness of polarized log Calabi-Yau fibrations with bounded bases
Xiaowei Jiang, Junpeng Jiao, Minzhe Zhu
The paper studies when families of log Calabi‑Yau fibrations with bounded bases and fibers have bounded total spaces, proving boundedness in codimension one and under vanishing irr…
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…
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…
Boundedness of polarized log Calabi-Yau fibrations
Junpeng Jiao
In this paper, we investigate the boundedness of log pairs with log Calabi--Yau fibration structures. We prove that total spaces of log Calabi--Yau fibrations are bounded modulo cr…
On structures and discrepancies of klt Calabi--Yau pairs
Junpeng Jiao
We study the structures of klt Calabi--Yau pairs. We show that the discrepancies of log centers of all klt Calabi--Yau varieties with fixed dimension are in a finite set. As a coro…