Characterization of plane to plane map germs by invariants

Abstract

We characterize the map germs of corank at most $1$ with $A$-codimension $\le 6$ 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 $1$ from $(C^2,0)$ to $(C^2,0)$ with $A$-codimension $\le 6$ and also give its implementation in the computer algebra system SINGULAR.

Keywords

• map germ
• $\mathcal{A}$-equivalence
• codimension

Supporting Institution

HEC

Project Number

7495

References

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