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arXiv · 2005.02613

On the finiteness of ample models

Junpeng Jiao
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Abstract

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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Junpeng Jiao. 2020-05-06. On the finiteness of ample models. https://arxiv.org/abs/2005.02613

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