Connexion de Gauss-Manin associée à la déformationverselle de la singularité et zérosde l'intégrale hyperelliptique
arXiv:math/0011199
Abstract
One studies the system of differential equations satisfied by the hyperelliptic integral associated to a vanishing cycle defined for the versal deformation of the singularity. As an application, the estimates on the multiplicity of zeros of the hyperelliptic integral are given as a linear function of the degree of present polynomials.
21 pages, French