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A start to the classification of critical points

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

Abstract

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).

Keywords

Holomorphic Function Principal Part Basic Stage Marked Index Topological Classification 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston, Inc. 1985

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