Singularities of Frontal Surfaces

被引：1

作者：

Munoz-cabello, C. ^{[1
]}

Nuno-ballesteros, J. J. ^{[1
,2
]}

Sinha, R. Oset ^{[1
]}

机构：

[1] Univ Valencia, Dept Matemat, Campus Burjassot, Burjassot 46100, Spain

[2] Univ Fed Paraba, Dept Matemat, BR-58051900 Joao Pessoa, Paraba, Brazil

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2024年 / 53卷 / 01期

关键词：

frontals; invariants of mappings; frontal Milnor number; double point curve; GEOMETRY; GERMS; DEFORMATIONS; CURVES; MAPS;

D O I：

10.14492/hokmj/2022-644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider singularities of frontal surfaces of corank one and finite frontal codimension. We look at the classification under A -equivalence and introduce the notion of frontalisation for singularities of fold type. We define the cuspidal and the transverse double point curves and prove that the frontal has finite co dimension if and only if both curves are reduced. Finally, we also discuss about the frontal versions of the Marar-Mond formulas and Mond's conjecture.

引用

页码：175 / 208

页数：34

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