A note on M. Soares’ bounds
[Une note sur les bornes de M. Soares]
Esteves, Eduardo1 ; Vainsencher, Israel2
1 IMPA Estrada D. Castorina 110 Jardim Botânico 22460-320 Rio de Janeiro RJ (Brasil)
2 UFMG Departamento de Matemática Cidade Universitária 30123-970 Belo Horizonte  MG (Brasil)
Annales de l'Institut Fourier, Tome 56 (2006) no. 1, pp. 269-276.

Nous employons des outils de la théorie d’intersection résiduelle pour donner une démonstration de l’inegalité obtenue par M. Soares pour l’indice de Poincaré-Hopf d’une singularité isolée d’un feuilletage de ℂℙ n .

We give an intersection theoretic proof of M. Soares’ bounds for the Poincaré-Hopf index of an isolated singularity of a foliation of ℂℙ n .

DOI : 10.5802/aif.2180
Classification : 32S65, 14C17, 37F75
Keywords: intersection theory, singularities, foliations
Mot clés : théorie de l’intersection, singularités, feuilletages
Esteves, Eduardo 1 ; Vainsencher, Israel 2

1 IMPA Estrada D. Castorina 110 Jardim Botânico 22460-320 Rio de Janeiro RJ (Brasil)
2 UFMG Departamento de Matemática Cidade Universitária 30123-970 Belo Horizonte  MG (Brasil) 
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Esteves, Eduardo; Vainsencher, Israel. A note on M. Soares’ bounds. Annales de l'Institut Fourier, Tome 56 (2006) no. 1, pp. 269-276. doi : 10.5802/aif.2180. http://www.numdam.org/articles/10.5802/aif.2180/

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