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Système des coordonées plates de la déformation verselle des singularités isolées simples d'hypersurface et zéros de l'intégrale d'Abel

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Tanabé,  Susumu
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Tanabé, S. (2002). Système des coordonées plates de la déformation verselle des singularités isolées simples d'hypersurface et zéros de l'intégrale d'Abel. Bulletin des Sciences Mathematiques, 126(2), 151-160. doi:10.1016/S0007-4497(01)01087-9.


Cite as: https://hdl.handle.net/21.11116/0000-0004-705C-7
Abstract
One studies a system of differential equations defined by Abel integrals associated to a real cycle defined for the versal deformation of an isolated simple singularity. As application, one obtains an estimation on the multiplicity of zeros of the Abel integral in terms of quasihomogeneous weights associated to the Hamiltonian and the integrand function.