Abstract
For hypersurface singularities f=0, certain rationality conditions are formulated in terms of the Newton diagram of f and the initial terms of a series expansion of f. A classification of compound Du Val singular points of three-dimensional hypersurfaces (cDV-singularities of Reid) is given. A method is indicated for calculating normal forms of equations of those singular points. The method is based on the spectral sequence of the two-term upper Koszul complex of f with the Newton filtration, which generalizes Arnol'd's spectral sequence for the reduction of functions to normal form. Examples of applications of the method are given. Bibliography: 6 titles.
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