光滑簇上对数典范阈值的Shokurov ACC猜想
代数几何
2019-12-19 v3
摘要
Shokurov猜想：有界维数簇上所有对数典范阈值构成的集合满足升链条件。本文证明该猜想对光滑簇成立，更一般地，对局部完全交簇和具有商奇点的簇也成立。
引用
@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}
}
备注
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