Characterization of uni-modal parametric plane curve singularities-Reference-Cited by-同舟云学术

Characterization of uni-modal parametric plane curve singularities

Published:2017-02 Issue:02 Volume:16 Page:1750039
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Binyamin Muhammad Ahsan¹,Rabia ¹,Mahmood Hasan²,Khan Junaid Alam³,Mehmood Khawar⁴

Affiliation:

1. Department of Mathematics, GC University, Faisalabad, Pakistan

2. Department of Mathematics, GC University, Lahore 54000, Pakistan

3. Department of Mathematical Sciences, Institute of Business Administration, Karachi, Pakistan

4. Abdus Salam School of Mathematical Sciences, GC University, Lahore 54000, Pakistan

Abstract

In this article we characterize the classification of uni-modal parametric plane curve singularities given by Ishikawa and Janeczko, in terms of invariants. On the basis of this characterization we present an algorithm to classify the uni-modal parametric plane curve singularities and also give its implementation in computer algebra system SINGULAR.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817500396

Reference8 articles.

1. Classification of unimodal critical points of functions

2. Simple Singularities of Mappings C, 0 → C2 , 0

3. On Schappert’s Characterization of Strictly Unimodal Plane Curve Singularities

4. Simple singularities of space curves

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