Separating sets, metric tangent cone and applications for complex algebraic germs

被引：9

作者：

Birbrair, Lev ^{[1
]}

Fernandes, Alexandre ^{[1
]}

Neumann, Walter D. ^{[2
]}

机构：

[1] Univ Fed Ceara, Dept Math, BR-60455760 Fortaleza, Ceara, Brazil

[2] Columbia Univ, Barnard Coll, Dept Math, New York, NY 10027 USA

来源：

SELECTA MATHEMATICA-NEW SERIES | 2010年 / 16卷 / 03期

关键词：

Bi-Lipschitz; Isolated complex singularity; SINGULARITIES; GEOMETRY;

D O I：

10.1007/s00029-010-0024-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An explanation is given for the initially surprising ubiquity of separating sets in normal complex surface germs. It is shown that they are quite common in higher dimensions too. The relationship between separating sets and the geometry of the metric tangent cone of Bernig and Lytchak is described. Moreover, separating sets are used to show that the inner Lipschitz type need not be constant in a family of normal complex surface germs of constant topology.

引用

页码：377 / 391

页数：15

共 19 条

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