2 citations · 2 across the 5 of their papers we have counts for
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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 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…
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…
On generalized lc pairs with -log abundant nef part
Junpeng Jiao, Jihao Liu, Lingyao Xie
We study the behavior of generalized lc pairs with -log abundant nef part, a meticulously designed structure on algebraic varieties. We show that this structure…
On the finiteness of ample models
Junpeng Jiao
In this paper, we generalize the finiteness of models theorem in [BCHM06] to Kawamata log terminal pairs with fixed Kodaira dimension. As a consequence, we prove that a Kawamata lo…