Invariants for bi-Lipschitz equivalence of ideals

被引：2

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

页码：791 / 815

页数：25

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