- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 3
- Characterization of plane to plane map germs by invariants
Characterization of plane to plane map germs by invariants
Authors : Saima Aslam, Muhammad Ahsan Binyamin
Pages : 743-756
Doi:10.15672/hujms.929810
View : 12 | Download : 8
Publication Date : 2022-06-01
Article Type : Research
Abstract :We characterize the map germs of corank at most 1 1 with A A -codimension ≤ 6 ≤6 in terms of certain invariants such as multiplicity and the number of cusps of map germs. On the basis of this characterization we present an algorithm to classify the map germs of corank at most 1 1 from ( C 2 , 0 ) (C2,0) to ( C 2 , 0 ) (C2,0) with A A -codimension ≤ 6 ≤6 and also give its implementation in the computer algebra system SINGULAR.Keywords : map germ, $mathcal{A}$-equivalence, codimension