Combinatorial aspects of the mixed Hodge structure

Mathematics – Algebraic Geometry

Scientific paper

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12 pages, a survey article based on the lectures delivered at RIMS, Kyoto, November 2003 "New aspects of the singularity theor

Scientific paper

This is a review article on the combinatorial aspects of the mixed Hodge
structure of a Milnor fibre of the isolated hypersurface singularity. We give a
purely combinatorial method to compute spectral pairs of the singularity under
the assumption of simplicial Newton boundary and non-degeneracy of the germ.

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