A start to the classification of critical points

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 functiongerms are equivalent, if they can be turned into one another under the action of biholomorphic changes of the independent variables).