Singularities of secant maps on closed plane curves

被引：0

作者：

Romero Fuster, Maria Carmen ^{[1
]}

Sanhermelando Rodriguez, Luis ^{[1
]}

机构：

[1] Univ Valencia, Dept Matemat, Fac Matemat, Valencia, Spain

来源：

SINGULARITIES IN GENERIC GEOMETRY | 2018年 / 78卷

关键词：

Singularities; stability; plane curves; Whitney index; isotopy invariants;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the singularities of secant maps associated to pairs of plane curves providing their geometrical interpretation up to codimension 2. We show that for most pairs of closed plane curves the secant map is a stable map from the torus to the plane. We determine the isotopy type of the singular set of the secant map associated to pairs of convex closed curves in terms of their Whitney indices.

引用

页码：365 / 381

页数：17

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