Corpus ID: 218516800

On the finiteness of ample models

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