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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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Dates and versions

hal-00656600 , version 1 (04-01-2012)
hal-00656600 , version 2 (04-10-2013)

Identifiers

  • HAL Id : hal-00656600 , version 2

Cite

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