# On the finiteness of ample models

@article{Jiao2020OnTF, title={On the finiteness of ample models}, author={Junpeng Jiao}, journal={arXiv: Algebraic Geometry}, year={2020} }

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.

#### 3 Citations

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