A start to the classification of critical points

Part of the Monographs in Mathematics book series (MMA, volume 82)


In this Chapter we describe the basic stages in the classification of critical points of holomorphic functions; the results of the classification and the computations necessary for carrying out the various stages are given in the following sections. All the functions under consideration are holomorphic and have a critical point at 0 with critical value 0. By equivalence we mean R-equivalence (two function-germs are equivalent, if they can be turned into one another under the action of biholomorphic changes of the independent variables).


Holomorphic Function Principal Part Basic Stage Marked Index Topological Classification 
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© Birkhäuser Boston, Inc. 1985

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