论文标题

关于充足模型的有限

On the finiteness of ample models

论文作者

Jiao, Junpeng

论文摘要

在本文中,我们将[BCHM06]中模型定理的有限性推广到具有固定kodaira尺寸的kawamata对数终端对。结果,我们证明了具有$ \ mathbb {r} - $边界的kawamata日志终端对具有规范模型,并且可以通过$ \ mathbb {q} - $ boundare和相同的规范模型近对日志对近似。

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 log terminal pair with $\mathbb{R}-$boundary has a canonical model, and can be approximated by log pairs with $\mathbb{Q}-$boundary and the same canonical model.

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