For , we determine the irreducible components of the th Jet Scheme of a complex branch and we give formulas for their number and for their codimensions, in terms of and the generators of the semigroup of . This structure of the Jet Schemes determines and is determined by the topological type of .
Pour , nous déterminons les composantes irréductibles des èmes espaces des jets d’une branche plane complexe et nous donnons des formules pour leur nombre et leurs codimensions, en fonction de et des générateurs du semigroupe de . Cette structure des espaces des jets détermine et elle est déterminée par le type topologique de
Keywords: Jet schemes, singularities of plane curves.
Mot clés : espaces des jets, singularités des courbes planes.
@article{AIF_2011__61_6_2313_0, author = {Mourtada, Hussein}, title = {Jet schemes of complex plane branches and equisingularity}, journal = {Annales de l'Institut Fourier}, pages = {2313--2336}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {6}, year = {2011}, doi = {10.5802/aif.2675}, zbl = {1247.14011}, mrnumber = {2976313}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2675/} }
TY - JOUR AU - Mourtada, Hussein TI - Jet schemes of complex plane branches and equisingularity JO - Annales de l'Institut Fourier PY - 2011 SP - 2313 EP - 2336 VL - 61 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2675/ DO - 10.5802/aif.2675 LA - en ID - AIF_2011__61_6_2313_0 ER -
%0 Journal Article %A Mourtada, Hussein %T Jet schemes of complex plane branches and equisingularity %J Annales de l'Institut Fourier %D 2011 %P 2313-2336 %V 61 %N 6 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2675/ %R 10.5802/aif.2675 %G en %F AIF_2011__61_6_2313_0
Mourtada, Hussein. Jet schemes of complex plane branches and equisingularity. Annales de l'Institut Fourier, Volume 61 (2011) no. 6, pp. 2313-2336. doi : 10.5802/aif.2675. http://www.numdam.org/articles/10.5802/aif.2675/
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