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.
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页码：701 / 733
页数：33
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