Abstract
F or aµ-constant deformation of holomorphic functions with isolated singularities, we define a period mapping by associating the Brieskorn module to each point, where we use the Gauss-Manin system to define the parallel translation. We show that it induces a finite morphism of the µ-constant stratum of a miniversal deformation. This means that the local moduli of function is determined by Brieskorn module up to finite ambiguity.
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