The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point
Let us consider the integral of a holomorphic differential form over a homology class of a continuous family of integral homologies of fibres of the Milnor fibration ofa critical point. The function given by the integral can be expanded in a series ofpowers ofthe parameter and powers ofthe logarithm ofthe parameter ofthe family (Chapter 1O). Each coefficient ofthe series depends linearly both on the form and on the continuous family ofintegral homologies.
KeywordsPrincipal Part Hodge Structure Jordan Block Holomorphic Form Weight Filtration
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