Connexion de Gauss-Manin associ\'ee \`a la d\'eformationverselle de la singularit\'e et z\'erosde l'int\'egrale hyperelliptique
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 A-μ 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.
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