no. 4
Number of singular points of an annulus in ℂ 2
[Le nombre de points singuliers d’un anneau dans ℂ 2 ]
Borodzik, Maciej1 ; Zołądek, Henryk2
1 University of Warsaw Institute of Mathematics ul. Banacha 2 02-097 Warsaw (Poland)
2 Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland
Annales de l'Institut Fourier, Tome 61 (2011) no. 4, pp. 1539-1555

Using BMY inequality and a Milnor number bound we prove that any algebraic annulus ℂ * in ℂ 2 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 ℂ * dans ℂ 2 sans auto-intersections ne peut avoir qu’ au plus trois singularités cuspidalles

DOI : 10.5802/aif.2650
Classification : 14H50, 14R10, 14B05
Keywords: Annulus, cuspidal singular point, codimension
Mots-clés : annulus, point singulier cuspidal, codimension

Borodzik, Maciej 1 ; Zołądek, Henryk 2

1 University of Warsaw Institute of Mathematics ul. Banacha 2 02-097 Warsaw (Poland)
2 Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland 
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Borodzik, Maciej; Zołądek, Henryk. Number of singular points of an annulus in $\mathbb{C}^2$. Annales de l'Institut Fourier, Tome 61 (2011) no. 4, pp. 1539-1555. doi: 10.5802/aif.2650

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