Finitely determined singularities of ruled surfaces in R3

被引：12

作者：

Martins, R. ^{[1
]}

Nuno-Ballesteros, J. J. ^{[2
]}

机构：

[1] Univ Estadual Maringa, BR-87020900 Maringa, Parana, Brazil

[2] Univ Valencia, Dept Geometria & Topol, E-46100 Burjassot, Spain

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2009年 / 147卷

关键词：

CLASSIFICATION; GERMS; MAPS;

D O I：

10.1017/S0305004109002618

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study local singularities of ruled surfaces in R-3. We show that any map germ f: (R-2, 0) -> (R-3, 0) with a simple singularity is A-equivalent to a ruled surface. Moreover, we give a topological classification of A-finitely determined singularities of ruled surfaces and show that there are just eleven topological classes.

引用

页码：701 / 733

页数：33

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