On finiteness of log canonical models-Reference-Cited by-同舟云学术

On finiteness of log canonical models

Published:2022-01-10 Issue:02 Volume:33 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Li Zhan¹^ORCID

Affiliation:

1. Department of Mathematics, Southern University of Science and Technology, 1088 Xueyuan Rd, Shenzhen 518055, P. R. China

Abstract

Let [Formula: see text] be klt pairs with [Formula: see text] a convex set of divisors. Assuming that the relative Kodaira dimensions of such pairs are non-negative, then there are only finitely many log canonical models when the boundary divisors vary in a rational polytope in [Formula: see text]. As a consequence, we show the existence of the log canonical model for a klt pair [Formula: see text] with real coefficients.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X22500124

Reference11 articles.

1. Shokurov's Boundary Property

2. Existence of log canonical flips and a special LMMP

3. Existence of minimal models for varieties of log general type

4. 3-fold flips after Shokurov

5. A Canonical Bundle Formula

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