Systeme des coordonees plates de la deformation verselle des singularites isolees simples d'hypersurface et zeros de l'integrale d'Abel

摘要

One studies a system of differential equations defined by Abel integralsassociated to a real cycle defined for the versal deformation of an isolatedsimple singularity. As application, one obtains an estimation on themultiplicity of zeros of the Abel integral in terms of quasihomogeneous weightsassociated to the Hamiltonian and the integrand function.