The tree model of a meromorphic plane curve

Abstract : We associate with a plane meromorphic curve f a tree model T(f) based on its contact structure. Then we give a complete description of the y-derivative of f (resp. the Jacobien J(f,g)) in terms of T(f) (resp. T(fg)). We also characterize the regularity of f in terms of its tree and we give a bound for the number of its irregular values
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https://hal.archives-ouvertes.fr/hal-00656600
Contributor : Abdallah Assi <>
Submitted on : Friday, October 4, 2013 - 10:59:21 AM
Last modification on : Wednesday, December 19, 2018 - 2:08:04 PM
Document(s) archivé(s) le : Friday, April 7, 2017 - 6:11:57 AM

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  • HAL Id : hal-00656600, version 2

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Abdallah Assi. The tree model of a meromorphic plane curve. 2012. ⟨hal-00656600v2⟩

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