Using BMY inequality and a Milnor number bound we prove that any algebraic annulus in with no self-intersections can have at most three cuspidal singularities.
Utilisant l’ inégalité BMY et une évaluation pour le nombre de Milnor nous prouvons que chaque anneau dans sans auto-intersections ne peut avoir qu’ au plus trois singularités cuspidalles
Keywords: Annulus, cuspidal singular point, codimension
Mot clés : annulus, point singulier cuspidal, codimension
@article{AIF_2011__61_4_1539_0, author = {Borodzik, Maciej and Zo{\l}\k{a}dek, Henryk}, title = {Number of singular points of an annulus in $\mathbb{C}^2$}, journal = {Annales de l'Institut Fourier}, pages = {1539--1555}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {4}, year = {2011}, doi = {10.5802/aif.2650}, zbl = {1238.14049}, mrnumber = {2951503}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2650/} }
TY - JOUR AU - Borodzik, Maciej AU - Zołądek, Henryk TI - Number of singular points of an annulus in $\mathbb{C}^2$ JO - Annales de l'Institut Fourier PY - 2011 SP - 1539 EP - 1555 VL - 61 IS - 4 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2650/ DO - 10.5802/aif.2650 LA - en ID - AIF_2011__61_4_1539_0 ER -
%0 Journal Article %A Borodzik, Maciej %A Zołądek, Henryk %T Number of singular points of an annulus in $\mathbb{C}^2$ %J Annales de l'Institut Fourier %D 2011 %P 1539-1555 %V 61 %N 4 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2650/ %R 10.5802/aif.2650 %G en %F AIF_2011__61_4_1539_0
Borodzik, Maciej; Zołądek, Henryk. Number of singular points of an annulus in $\mathbb{C}^2$. Annales de l'Institut Fourier, Volume 61 (2011) no. 4, pp. 1539-1555. doi : 10.5802/aif.2650. http://www.numdam.org/articles/10.5802/aif.2650/
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