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Connexion de Gauss-Manin associée à la déformationverselle de la singularité et zérosde l'intégrale hyperelliptique

Susumu Tanabe
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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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Susumu Tanabe. 2000-11-23. Connexion de Gauss-Manin associée à la déformationverselle de la singularité et zérosde l'intégrale hyperelliptique. https://arxiv.org/abs/math/0011199

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