TY  - JOUR
T1  - Characterization of plane to plane map germs by invariants
AU  - Binyamin, Muhammad Ahsan
AU  - Aslam, Saima
PY  - 2022
DA  - June
DO  - 10.15672/hujms.929810
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 743
EP  - 756
VL  - 51
IS  - 3
LA  - en
AB  - We characterize the map germs of corank at most 11 with AA-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 11 from (C2,0)(C2,0) to (C2,0)(C2,0) with AA-codimension ≤6≤6 and also give its implementation in the computer algebra system SINGULAR.
KW  - map germ
KW  - $\mathcal{A}$-equivalence
KW  - codimension
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UR  - https://doi.org/10.15672/hujms.929810
L1  - https://dergipark.org.tr/en/download/article-file/1740348
ER  -