A connectedness theorem over the spectrum of a formal power series ring

被引：8

作者：

Kawakita, Masayuki ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2015年 / 26卷 / 11期

关键词：

Connectedness lemma; formal power series ring; minimal log discrepancy; ADIC SEMI-CONTINUITY; LOG DISCREPANCIES; ALGEBRAIC VARIETY; DESINGULARIZATION; SINGULARITIES; RESOLUTION; FIELD;

D O I：

10.1142/S0129167X15500883

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the connectedness of the non-klt locus over the spectrum of a formal power series ring. In dimension 3, we prove the existence and normality of the smallest lc center, and apply it to the ACC for minimal log discrepancies greater than 1 on smooth 3-folds.

引用

页数：27

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