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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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-705C-7 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-705D-6
Genre: Journal Article

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Tanabe_Système des coordonées plates_2002.pdf (Preprint), 142KB
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https://doi.org/10.1016/S0007-4497(01)01087-9 (Publisher version)
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 Creators:
Tanabé, Susumu1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Dynamical Systems
 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.

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Language(s): fra - French
 Dates: 2002
 Publication Status: Issued
 Pages: 10
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: math/0408246
URI: http://arxiv.org/abs/math/0408246
DOI: 10.1016/S0007-4497(01)01087-9
 Degree: -

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Title: Bulletin des Sciences Mathematiques
  Abbreviation : Bull. Sci. Math.
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 126 (2) Sequence Number: - Start / End Page: 151 - 160 Identifier: -