GEOMETRY OF WHITNEY-TYPE FORMULAS

被引：2
|
作者：
Burman, Yurii [1 ]
Polyak, Michael [2 ]
机构：
[1] Independent Univ Moscow, Moscow 121002, Russia
[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
MOSCOW MATHEMATICAL JOURNAL | 2003年 / 3卷 / 03期
关键词：
Plane curves; Whitney formula; Gauss map; inter-section index;
D O I：
10.17323/1609-4514-2003-3-3-823-832
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The article contains a generalization of the classical Whitney formula for the number of double points of a plane curve. This formula is split into a series of equalities, and also extended to curves on a torus, to non-pointed curves, and to wave fronts. All the theorems are given geometric proofs employing logarithmic Gauss-type maps from suitable configuration spaces to C.
引用
收藏
页码：823 / 832
页数：10
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