4 citations · 6 across the 9 of their papers we have counts for
10 papers
Boundedness of minimal modifications
Junpeng Jiao
For fixed and , we prove boundedness of projective birational morphisms over for which is an -lc pair, , …
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…
Locally stable degenerations of log Calabi-Yau pairs
Junpeng Jiao
We study the birational boundedness of special fibers of log Calabi-Yau fibrations and Fano fibrations. We show that for a locally stable family of Fano varieties or polarised log…
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…
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 the boundedness of canonical models
Junpeng Jiao
It is conjectured that the canonical models of varieties (not of general type) are bounded when the Iitaka volume is fixed. We confirm this conjecture when the general fibers of th…
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…