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Mathematical Research Letters
Volume 29 (2022)
Number 3
On the finiteness of ample models
Pages: 763 – 784
DOI: https://dx.doi.org/10.4310/MRL.2022.v29.n3.a6
Author
Abstract
In this paper, we generalize the finiteness of models theorem in [2] 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 it can be approximated by log pairs with $\mathbb{Q}$-boundary and the same canonical model.
Received 24 July 2020
Accepted 12 February 2021
Published 30 November 2022