A characterization and implementation of corank one map germs from $ 2 $-space to $ 3 $-space in the computer algebra system SINGULAR-Reference-Cited by-同舟云学术

A characterization and implementation of corank one map germs from $ 2 $-space to $ 3 $-space in the computer algebra system SINGULAR

Published:2023 Issue:2 Volume:8 Page:3747-3762
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Wang Ying¹²,Binyamin Muhammad Ahsan³,Iqbal Tauqeer³,Aslam Saima³,Aslam Adnan⁴

Affiliation:

1. Software Engineering Institute of Guangzhou, Guangzhou 510980, China

2. Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

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

4. Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), Pakistan

Abstract

<abstract>The classification and the geometry of corank one map germs from $ ({\mathbb{C}}^2, 0) \rightarrow ({\mathbb{C}}^3, 0) $ have been studied by Mond [<xref ref-type="bibr" rid="b1">1</xref>,<xref ref-type="bibr" rid="b2">2</xref>]. In this paper we characterize the classification of map germs of corank at most $ 1 $, in terms of certain invariants. Moreover, by using this characterization, we develop an algorithm to compute the type of map germs with out computing the normal form. Also, we give its implementation in the computer algebra system SINGULAR [<xref ref-type="bibr" rid="b15">15</xref>].</abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference16 articles.

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