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math.AG2026
Quasi-Projective Moduli for Polarized klt Good Minimal Models
Xiaowei Jiang
We prove the weak positivity of direct images for locally stable families of klt good minimal models over reduced quasi-projective bases using Gabber's Extension Theorem. As an app…
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…
math.AG2023
Boundedness of klt good minimal models
Xiaowei Jiang
For good minimal models with klt singularities, polarized by Weil divisors that are relatively nef and big over the bases of the Iitaka fibration, we show that, after fixing approp…