Geodesic
Courbure et Polygone de Newton
Serdica Mathematical Journal, Tome 35 (2009) no. 2, pp. 195-206.

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The object of this article relates to the study of the complex algebraic curves by using the concept of envelope convex. One proposes to characterize the points of a holomorphic complex curve (C) and to associate a metric invariant to them ( generalized curvature), by using the equations of the various segments constituting the polygon of Newton associated with (C).
Keywords: Algebraic Curve, Curvature, Non Standard Analysis 
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     author = {Hannachi M, M. and Mezaghcha, K.},
     title = {Courbure et {Polygone} de {Newton}},
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Hannachi M, M.; Mezaghcha, K. Courbure et Polygone de Newton. Serdica Mathematical Journal, Tome 35 (2009) no. 2, pp. 195-206. http://geodesic.mathdoc.fr/item/SMJ2_2009_35_2_a4/