Systeme des coordonees plates de la deformation verselle des singularites isolees simples d'hypersurface et zeros de l'integrale d'Abel

Details Systeme des coordonees plates de la deformation verselle des singularites isolees simples d'hypersurface et zeros de l'integrale d'Abel Systeme des coordonees plates de la deformation verselle des singularites isolees simples d'hypersurface et zeros de l'integrale d'Abel

2004-08-18

arxiv.org/abs/math/0408246v1

Bulletin des Sciences Mathematiques 126 (2002) pp.151-160

Mathematics

Dynamical Systems

8 pages, in French

Scientific paper

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.

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