no. 6
The C 1 invariance of the algebraic multiplicity of a holomorphic vector field
[La C 1 -invariance de la multiplicité algébrique d’un champ de vecteurs holomorpe]
Rosas, Rudy1, 2
1 Pontificia Universidad Católica del Perú Av Universitaria 1801 San Miguel, Lima 32 (Perú)
2 Instituto de Matemática y Ciencias Afines (IMCA) Jr. los Biólogos 245 La Molina, Lima (Perú)
Annales de l'Institut Fourier, Tome 60 (2010) no. 6, pp. 2115-2135.

On démontre que la multiplicité algébrique d’une singularité d’un champ de vecteurs holomorphe est invariante par C 1 -equivalences.

We prove that the algebraic multiplicity of a holomorphic vector field at an isolated singularity is invariant by C 1 equivalences.

DOI : 10.5802/aif.2578
Classification : 37F75
Keywords: Algebraic multiplicity, holomorphic vector field, holomorphic foliation
Mot clés : multiplicité algébrique, champ de vecteurs holomorphique, feuilletage holomorphique
Rosas, Rudy 1, 2

1 Pontificia Universidad Católica del Perú Av Universitaria 1801 San Miguel, Lima 32 (Perú)
2 Instituto de Matemática y Ciencias Afines (IMCA) Jr. los Biólogos 245 La Molina, Lima (Perú) 
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Rosas, Rudy. The $C^1$ invariance of the algebraic multiplicity of a holomorphic vector field. Annales de l'Institut Fourier, Tome 60 (2010) no. 6, pp. 2115-2135. doi : 10.5802/aif.2578. http://www.numdam.org/articles/10.5802/aif.2578/

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