Combinatorial aspects of the mixed Hodge structure
arXiv:math/0405062
Abstract
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.
12 pages, a survey article based on the lectures delivered at RIMS, Kyoto, November 2003 "New aspects of the singularity theory"