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| The tree model of a meromorphic plane curve |
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| Abdallah Assi1 |
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| 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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| 1 : | LAREMA - Laboratoire Angevin de REcherche en MAthématiques |
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| Meromorphic curve – polynomial maps |
| hal-00656600, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00656600 | |
| oai:hal.archives-ouvertes.fr:hal-00656600 | |
| Contributeur : Abdallah Assi | |
| Soumis le : Mercredi 4 Janvier 2012, 15:29:45 | |
| Dernière modification le : Mercredi 4 Janvier 2012, 16:28:13 | |