Characterization of plane to plane map germs by invariants

Authors : Saima ASLAM, Muhammad Ahsan BİNYAMİN

Pages : 743-756

Doi:10.15672/hujms.929810

View : 22 | Download : 11

Publication Date : 2022-06-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values( C 2 , 0 ); insert ignore into journalissuearticles values(C2,0); to insert ignore into journalissuearticles values( C 2 , 0 ); insert ignore into journalissuearticles values(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