Characterization of plane to plane map germs by invariants

Abstract

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.