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Free keywords:
Mathematics, Dynamical Systems, math.DS,Mathematics, Algebraic Geometry, math.AG,
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 $A-\mu$ 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.