论文标题

两极分化的log calabi-yau振动的界限

Boundedness of polarized log Calabi-Yau fibrations

论文作者

Jiao, Junpeng

论文摘要

在本文中,我们研究了与log calabi-YAU纤维化结构对数对的界限。我们证明,当log calabi-yau纤维的总空间是有界的模仿毛prational等价的,当对数规范除数的iitaka体积有界限,并且一般的纤维在极化的log calabi-calabi-yau对的界面。

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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