Recognition and Implementation of Contact Simple Map Germs from (ℂ2, 0) → (ℂ2, 0)

Autor: Peng Xu, Muhammad Ahsan Binyamin, Adnan Aslam, Muhammad Shahbaz, Saima Aslam, Salma Kanwal
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 7, p 1575 (2023)
Druh dokumentu: article
ISSN: 11071575
2227-7390
DOI: 10.3390/math11071575
Popis: The classification of contact simple map germs from (C2,0)→(C2,0) was given by Dimca and Gibson. In this article, we give a useful criteria to recognize this classification of contact simple map germs of holomorphic mappings with finite codimension. The recognition is based on the computation of explicit numerical invariants. By using this characterization, we implement an algorithm to compute the type of the contact simple map germs without computing the normal form and also give its implementation in the computer algebra system Singular.
Databáze: Directory of Open Access Journals
Externí odkaz:
Nepřihlášeným uživatelům se plný text nezobrazuje