The tree model of a meromorphic plane curve
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.
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| Veröffentlicht in: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2014-03, Vol.108 (1), p.281-316 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
|---|---|
| ISSN: | 1578-7303 1579-1505 |
| DOI: | 10.1007/s13398-013-0141-7 |