Boundedness of polarized log Calabi-Yau fibrations
Algebraic Geometry
2025-06-13 v5
Abstract
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 crepant birational equivalence when the Iitaka volumes of log canonical divisors are bounded and general fibers are in a bounded family of polarized log Calabi--Yau pairs.
Keywords
Cite
@article{arxiv.2202.07238,
title = {Boundedness of polarized log Calabi-Yau fibrations},
author = {Junpeng Jiao},
journal= {arXiv preprint arXiv:2202.07238},
year = {2025}
}
Comments
41 pages, final version. To appear in Journal of Differential Geometry