no. 4
Classification topologique des germes de formes logarithmiques génériques
Annales de l'Institut Fourier, Tome 39 (1989) no. 4, pp. 909-927.

On établit la classification topologique des feuilletages holomorphes de codimension 1 singuliers à l’origine de ℂ n , admettant une intégrale première multiforme du type f 1 ∂ 1 ,...,f p ∂ p .

We give the topological classification of codimension one holomorphic foliations singular at the origin of ℂ n , which admits a multiform first integral of the type f 1 ∂ 1 ,...,f p ∂ p .

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     author = {Paul, Emmanuel},
     title = {Classification topologique des germes de formes logarithmiques g\'en\'eriques},
     journal = {Annales de l'Institut Fourier},
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     volume = {39},
     number = {4},
     year = {1989},
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Paul, Emmanuel. Classification topologique des germes de formes logarithmiques génériques. Annales de l'Institut Fourier, Tome 39 (1989) no. 4, pp. 909-927. doi : 10.5802/aif.1194. https://aif.centre-mersenne.org/articles/10.5802/aif.1194/

[1] C. Camacho, A. Lins Neto, The topology of integrable differentiable forms near a singularity, Publications Mathématiques de l'IHES, 55 (1982), 5-35. | Numdam | MR | Zbl

[2] D. Cerveau, J. F. Mattei, Formes intégrables holomorphes singulières, S.M.F., Astérisque, n° 97 (1982). | MR | Zbl

[3] Hamm, Lê Dung Trang, Un théorème de Zariski du type de Lefschetz, Ann. Sc. Ec. Norm. Sup., vol. 6 (1973), 317-366. | Numdam | MR | Zbl

[4] H. Hironaka, Introduction to the theory of infinitely near singular points, Memorias de Mathematica del Instituto Jorge Juan Madrid, 28 (1974). | MR | Zbl

[5] J. F. Mattei, R. Moussu, Holonomie et intégrales premières, Ann. Sc. Ec. Norm. Sup., 13 (1980), 469-523. | Numdam | MR | Zbl

[6] E. Paul, Étude topologique des formes logarithmiques fermées, Invent. Math., 95 (1989), 395-420. | MR | Zbl

[7] E. Paul, thèse, Toulouse (1987).

[8] J. Plante, Foliations with measure preserving holonomy, Ann. of Math., 102 (1975), 327-361. | MR | Zbl

[9] S. Schwartzman, Asymptotic cycles, Ann. of Math., 66 (1957), 270-284. | MR | Zbl

[10] A. Seidenberg, Reduction of singularities of the differentiable equation A dy = B dx, Amer. J. of Math., (1968), 248-269. | MR | Zbl

[11] A. Van Den Essen, Reduction of singularities of the differentiable equation A dy + B dx = 0, Lectures notes in math., n° 712, 44-59, Springer-Verlag. | MR | Zbl

[12] C. Camacho, N. H. Kuiper, J. Palis, The topology of Holomorphic Flows with Singularity, Publications Mathématiques de l'IHES, 48 (1978), 5-38. | Numdam | MR | Zbl

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