Shokurov's ACC Conjecture for log canonical thresholds on smooth varieties
Algebraic Geometry
2019-12-19 v3
Abstract
Shokurov conjectured that the set of all log canonical thresholds on varieties of bounded dimension satisfies the ascending chain condition. In this paper we prove that the conjecture holds for log canonical thresholds on smooth varieties and, more generally, on locally complete intersection varieties and on varieties with quotient singularities.
Keywords
Cite
@article{arxiv.0905.3775,
title = {Shokurov's ACC Conjecture for log canonical thresholds on smooth varieties},
author = {Tommaso de Fernex and Lawrence Ein and Mircea Mustata},
journal= {arXiv preprint arXiv:0905.3775},
year = {2019}
}
Comments
20 pages. This supersedes arXiv:0811.4642 and arXiv:0811.4644. As opposed to these older versions, we now give a proof of Koll\'ar's m-adic semicontinuity result using only the Connectedness Theorem; v.3: section 4 has been rewritten; to appear in Duke Math. J