BOUNDEDNESS OF POLARIZED LOG CALABI-YAU FIBRATIONS

被引：0
作者：
Jiao, Junpeng [1 ]
机构：
[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL GEOMETRY | 2025年 / 130卷 / 03期
关键词：
VARIETIES; MODULI;
D O I：
10.4310/jdg/1749495319
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：635 / 675
页数：41
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