A Torelli theorem for unimodal and bimodal hypersurface singularities (Q1894816)

Some analytic invariants of the right equivalence class of an isolated hypersurface singularity are defined. The starting-point is the Gauss-Manin connection together with the integrals of holomorphic forms over vanishing cycles. The invariants have some similarity to the Riemann matrix pairs for Abelian varieties. The invariants are studied thoroughly for the unimodal and bimodal hypersurface singularities. One invariant determines the right equivalence class in nearly all cases.