Invariants for bi-Lipschitz equivalence of ideals

被引：1
|
作者：
Bivia-Ausina, Carles [1 ]
Fukui, Toshizumi [2 ]
机构：
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Cami Vera S-N, E-46022 Valencia, Spain
[2] Saitama Univ, Dept Math, Sakura Ku, 255 Shimo Okubo, Saitama 3388570, Japan
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2017年 / 68卷 / 03期
关键词：
GENERIC LINEAR SECTIONS; MIXED MULTIPLICITIES; LOJASIEWICZ EXPONENT; MONOMIAL IDEALS; NEWTON FILTRATIONS; WHITNEY CONDITIONS; MILNOR NUMBERS; SINGULARITIES; REDUCTIONS; POLYHEDRA;
D O I：
10.1093/qmath/hax002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of bi-Lipschitz equivalence of ideals and derive numerical invariants for such equivalence. In particular, we show that the log canonical threshold of ideals is a bi-Lipschitz invariant. We apply our method to several deformations ft:,0,0 (. n). (.) and show that they are not bi-Lipschitz trivial, specially focusing on several known examples of non-m*-constant deformations.
引用
收藏
页码：791 / 815
页数：25
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