The tree model of a meromorphic plane curve

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Springer-Verlag Italia s.r.l.

Abstract

We associate with a plane meromorphic curve f a tree model T(f) based on its contact structure. Then we give a description of the y-derivative of f (resp. the Jacobian J(f, g)) in terms of T(f) (resp. T(f, g)). We also characterize the regularity of f in terms of its tree. © 2013 Springer-Verlag Italia.

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A-plane, Contact structure, Jacobians, Model t, Plane curves, Tree modeling

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