Translator Disclaimer
15 January 2007 Ascending chain condition for log canonical thresholds and termination of log flips
Caucher Birkar
Author Affiliations +
Duke Math. J. 136(1): 173-180 (15 January 2007). DOI: 10.1215/S0012-7094-07-13615-9

Abstract

We prove that the ascending chain condition (ACC) for log canonical (lc) thresholds in dimension d, existence of log flips in dimension d, and the log minimal model program (LMMP) in dimension d1 imply termination of any sequence of log flips starting with a d-dimensional effective lc pair and also imply termination of flops in dimension d. In particular, the latter terminations in dimension 4 follow from the Alexeev-Borisov conjecture in dimension 3

Citation

Download Citation

Caucher Birkar. "Ascending chain condition for log canonical thresholds and termination of log flips." Duke Math. J. 136 (1) 173 - 180, 15 January 2007. https://doi.org/10.1215/S0012-7094-07-13615-9

Information

Published: 15 January 2007
First available in Project Euclid: 4 December 2006

zbMATH: 1109.14018
MathSciNet: MR2271298
Digital Object Identifier: 10.1215/S0012-7094-07-13615-9

Subjects:
Primary: 14E30
Secondary: 14J35

Rights: Copyright © 2007 Duke University Press

JOURNAL ARTICLE
8 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.136 • No. 1 • 15 January 2007
Back to Top