Number of singular points of an annulus in 2
[Le nombre de points singuliers d’un anneau dans 2 ]
Annales de l'Institut Fourier, Tome 61 (2011) no. 4, pp. 1539-1555.

Utilisant l’ inégalité BMY et une évaluation pour le nombre de Milnor nous prouvons que chaque anneau * dans 2 sans auto-intersections ne peut avoir qu’ au plus trois singularités cuspidalles

Using BMY inequality and a Milnor number bound we prove that any algebraic annulus * in 2 with no self-intersections can have at most three cuspidal singularities.

DOI : 10.5802/aif.2650
Classification : 14H50, 14R10, 14B05
Keywords: Annulus, cuspidal singular point, codimension
Mot 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. http://www.numdam.org/articles/10.5802/aif.2650/

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