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.
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页数：27
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