Classification topologique des germes de formes logarithmiques génériques

Emmanuel Paul

Annales de l'institut Fourier (1989)

  • Volume: 39, Issue: 4, page 909-927
  • ISSN: 0373-0956

Abstract

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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 .

How to cite

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Paul, Emmanuel. "Classification topologique des germes de formes logarithmiques génériques." Annales de l'institut Fourier 39.4 (1989): 909-927. <http://eudml.org/doc/74861>.

@article{Paul1989,
abstract = {On établit la classification topologique des feuilletages holomorphes de codimension 1 singuliers à l’origine de $\{\Bbb C\}^n$, admettant une intégrale première multiforme du type $f_1^\{\partial _1\},\ldots \{\},f_p^\{\partial _ p\}$.},
author = {Paul, Emmanuel},
journal = {Annales de l'institut Fourier},
keywords = {singularities; logarithmic forms},
language = {fre},
number = {4},
pages = {909-927},
publisher = {Association des Annales de l'Institut Fourier},
title = {Classification topologique des germes de formes logarithmiques génériques},
url = {http://eudml.org/doc/74861},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Paul, Emmanuel
TI - Classification topologique des germes de formes logarithmiques génériques
JO - Annales de l'institut Fourier
PY - 1989
PB - Association des Annales de l'Institut Fourier
VL - 39
IS - 4
SP - 909
EP - 927
AB - On établit la classification topologique des feuilletages holomorphes de codimension 1 singuliers à l’origine de ${\Bbb C}^n$, admettant une intégrale première multiforme du type $f_1^{\partial _1},\ldots {},f_p^{\partial _ p}$.
LA - fre
KW - singularities; logarithmic forms
UR - http://eudml.org/doc/74861
ER -

References

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  2. [2] D. CERVEAU, J. F. MATTEI, Formes intégrables holomorphes singulières, S.M.F., Astérisque, n° 97 (1982). Zbl0545.32006MR86f:58006
  3. [3] HAMM, LÊ DUNG TRANG, Un théorème de Zariski du type de Lefschetz, Ann. Sc. Ec. Norm. Sup., vol. 6 (1973), 317-366. Zbl0276.14003MR53 #5582
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  7. [7] E. PAUL, thèse, Toulouse (1987). 
  8. [8] J. PLANTE, Foliations with measure preserving holonomy, Ann. of Math., 102 (1975), 327-361. Zbl0314.57018MR52 #11947
  9. [9] S. SCHWARTZMAN, Asymptotic cycles, Ann. of Math., 66 (1957), 270-284. Zbl0207.22603MR19,568i
  10. [10] A. SEIDENBERG, Reduction of singularities of the differentiable equation A dy = B dx, Amer. J. of Math., (1968), 248-269. Zbl0159.33303MR36 #3762
  11. [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. Zbl0418.34008MR82m:34007
  12. [12] C. CAMACHO, N. H. KUIPER, J. PALIS, The topology of Holomorphic Flows with Singularity, Publications Mathématiques de l'IHES, 48 (1978), 5-38. Zbl0411.58018MR80j:58045

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