English

On the finiteness of ample models

Algebraic Geometry 2020-05-08 v2

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

Keywords

Cite

@article{arxiv.2005.02613,
  title  = {On the finiteness of ample models},
  author = {Junpeng Jiao},
  journal= {arXiv preprint arXiv:2005.02613},
  year   = {2020}
}
R2 v1 2026-06-23T15:20:33.813Z