Abstract
The first part is a survey about polarized mixed Hodge structures and Brieskorn lattices for hypersurface singularities. It describes wellknown properties of these objects and contains new results about classification spaces and moduli spaces for these objects. In the second part the Brieskorn lattices of cubics in ℂ4 and of Brieskorn-Pham singularities with coprime exponents are studied. A nice application is a global Torelli theorem for cubics in ℙ3 by some pure Hodge structure.
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