In this paper we give a direct and explicit description of the local topological embedding of a plane curve singularity using the Puiseux expansions of its branches in a given set of coordinates.
Dans cet article nous donnons une description directe et explicite du plongement topologique local d'une singularité de courbe plane à partir des dévelopements de Puiseux de ses branches relativement à un système de coordonnées fixé.
Keywords: plane curve, singularities, carousels, Puiseux expansions, characteristic exponents
@article{AIF_2003__53_4_1117_0, author = {Tr\'ang, L\^e Dung}, title = {Plane curve singularities and carousels}, journal = {Annales de l'Institut Fourier}, pages = {1117--1139}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {53}, number = {4}, year = {2003}, doi = {10.5802/aif.1975}, mrnumber = {2033511}, zbl = {1078.14050}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1975/} }
TY - JOUR TI - Plane curve singularities and carousels JO - Annales de l'Institut Fourier PY - 2003 DA - 2003/// SP - 1117 EP - 1139 VL - 53 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1975/ UR - https://www.ams.org/mathscinet-getitem?mr=2033511 UR - https://zbmath.org/?q=an%3A1078.14050 UR - https://doi.org/10.5802/aif.1975 DO - 10.5802/aif.1975 LA - en ID - AIF_2003__53_4_1117_0 ER -
Tráng, Lê Dung. Plane curve singularities and carousels. Annales de l'Institut Fourier, Volume 53 (2003) no. 4, pp. 1117-1139. doi : 10.5802/aif.1975. https://aif.centre-mersenne.org/articles/10.5802/aif.1975/
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