In this article, we correct the classification of unimodal map germs from the plane to the plane of Boardman symbol given by Dimca and Gibson. Also, we characterize this classification of unimodal map germs in terms of certain invariants. Moreover, on the basis of this characterization we present an algorithm to compute the type of unimodal map germs of the Boardman symbol without computing the normal form and give its implementation in the computer algebra system Singular [8].
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@article{CRMATH_2020__358_8_923_0,
author = {Binyamin, Muhammad Ahsan and Aslam, Saima and Mehmood, Khawar},
title = {Contact unimodal map germs from the plane to the plane},
journal = {Comptes Rendus. Math\'ematique},
pages = {923--930},
publisher = {Acad\'emie des sciences, Paris},
volume = {358},
number = {8},
year = {2020},
doi = {10.5802/crmath.114},
language = {en},
url = {http://www.numdam.org/articles/10.5802/crmath.114/}
}
TY - JOUR AU - Binyamin, Muhammad Ahsan AU - Aslam, Saima AU - Mehmood, Khawar TI - Contact unimodal map germs from the plane to the plane JO - Comptes Rendus. Mathématique PY - 2020 SP - 923 EP - 930 VL - 358 IS - 8 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.114/ DO - 10.5802/crmath.114 LA - en ID - CRMATH_2020__358_8_923_0 ER -
%0 Journal Article %A Binyamin, Muhammad Ahsan %A Aslam, Saima %A Mehmood, Khawar %T Contact unimodal map germs from the plane to the plane %J Comptes Rendus. Mathématique %D 2020 %P 923-930 %V 358 %N 8 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.114/ %R 10.5802/crmath.114 %G en %F CRMATH_2020__358_8_923_0
Binyamin, Muhammad Ahsan; Aslam, Saima; Mehmood, Khawar. Contact unimodal map germs from the plane to the plane. Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 923-930. doi : 10.5802/crmath.114. http://www.numdam.org/articles/10.5802/crmath.114/
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