Abstract

Given a family of complex projective hypersurfaces in CP", the Torelli problem studied by P. Griffiths and his school asks whether the period map is injective on that family, i.e., whether the family of complex hypersurfaces can be distinguished by means of their Hodge structures. A complex projective hypersurface in CP" can be viewed as a complex hypersurface with isolated singularity in C "+ t. Let V= {z~C "+1 : f(z)=O} be a complex hypersurface with isolated singularity at the origin. The moduli algebra of (V, 0) is A(V)

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