Unimodal Singularities of Parametrized Plane Curves

被引：0

作者：

Mehmood, Khawar ^{[1
]}

Pfister, Gerhard ^{[2
]}

机构：

[1] Govt Coll Univ, Abdus Salam Sch Math Sci, 68-B,New Muslim Town, Lahore 54600, Pakistan

[2] Univ Kaiserslautern, Dept Math, Erwin Schrodinger Str, D-67663 Kaiserslautern, Germany

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2017年 / 60卷 / 04期

关键词：

parametrized plane curves; unimodal singularities; BRANCHES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the results of Hefez and Hernandez [7] to give a different proof for the classification of simple singularities of mappings (C, 0) -> ( C-2, 0) with respect to A equivalence done by Bruce and Gaffney [2] and give the classification of unimodal singularities. The result are extended to a classification over the real numbers R.

引用

页码：417 / 424

页数：8

共 50 条

[1] BIMODAL SINGULARITIES OF PARAMETRIZED PLANE CURVES
Mehmood, Khawar
Binyamin, Muhammad Ahsan
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2019, 72 (08): : 1007 - 1014
[2] Simple singularities of parametrized plane curves in positive characteristic
Mehmood, Khawar
Pfister, Gerhard
COMMUNICATIONS IN ALGEBRA, 2018, 46 (09) : 3996 - 4006
[3] Intersections of Rational Parametrized Plane Curves
Tesemma, Mohammed
Wang, Haohao
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 7 (02): : 191 - 200
[4] Simple singularities of parametrized space curves in positive characteristic
Javed, Nimra
Pfister, Gerhard
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2022, 65 (01): : 35 - 62
[5] ON THE SINGULARITIES OF PLANE-CURVES
BISZTRICZKY, T
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1986, 38 (04): : 947 - 968
[6] Singularities of plane algebraic curves
Hillman, JA
EXPOSITIONES MATHEMATICAE, 2005, 23 (03) : 233 - 254
[7] On the reality of singularities of plane curves
Hollcroft, TR
MATHEMATISCHE ANNALEN, 1927, 97 : 775 - 787
[8] MANIFOLD OF PLANE CURVES WITH SINGULARITIES
LINDNER, M
ARCHIV DER MATHEMATIK, 1977, 28 (06) : 603 - 610
[9] THE FLOW-CURVATURE OF PLANE PARAMETRIZED CURVES
Crasmareanu, Mircea
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2023, 72 (02): : 417 - 428
[10] Classification of unimodal parametric plane curve singularities in positive characteristic
Binyamin, Muhammad Ahsan
Greuel, Gert-Martin
Mehmood, Khawar
Pfister, Gerhard
JOURNAL OF ALGEBRA, 2024, 660 : 451 - 512

← 1 2 3 4 5 →