On établit la classification topologique des feuilletages holomorphes de codimension 1 singuliers à l’origine de , admettant une intégrale première multiforme du type .
We give the topological classification of codimension one holomorphic foliations singular at the origin of , which admits a multiform first integral of the type .
@article{AIF_1989__39_4_909_0, author = {Paul, Emmanuel}, title = {Classification topologique des germes de formes logarithmiques g\'en\'eriques}, journal = {Annales de l'Institut Fourier}, pages = {909--927}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {39}, number = {4}, year = {1989}, doi = {10.5802/aif.1194}, mrnumber = {91h:32027}, zbl = {0678.32006}, language = {fr}, url = {http://archive.numdam.org/articles/10.5802/aif.1194/} }
TY - JOUR AU - Paul, Emmanuel TI - Classification topologique des germes de formes logarithmiques génériques JO - Annales de l'Institut Fourier PY - 1989 SP - 909 EP - 927 VL - 39 IS - 4 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1194/ DO - 10.5802/aif.1194 LA - fr ID - AIF_1989__39_4_909_0 ER -
%0 Journal Article %A Paul, Emmanuel %T Classification topologique des germes de formes logarithmiques génériques %J Annales de l'Institut Fourier %D 1989 %P 909-927 %V 39 %N 4 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.1194/ %R 10.5802/aif.1194 %G fr %F AIF_1989__39_4_909_0
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. http://archive.numdam.org/articles/10.5802/aif.1194/
[1] The topology of integrable differentiable forms near a singularity, Publications Mathématiques de l'IHES, 55 (1982), 5-35. | Numdam | MR | Zbl
, ,[2] Formes intégrables holomorphes singulières, S.M.F., Astérisque, n° 97 (1982). | Numdam | MR | Zbl
, ,[3] Un théorème de Zariski du type de Lefschetz, Ann. Sc. Ec. Norm. Sup., vol. 6 (1973), 317-366. | Numdam | MR | Zbl
, ,[4] Introduction to the theory of infinitely near singular points, Memorias de Mathematica del Instituto Jorge Juan Madrid, 28 (1974). | MR | Zbl
,[5] Holonomie et intégrales premières, Ann. Sc. Ec. Norm. Sup., 13 (1980), 469-523. | Numdam | MR | Zbl
, ,[6] Étude topologique des formes logarithmiques fermées, Invent. Math., 95 (1989), 395-420. | MR | Zbl
,[7] thèse, Toulouse (1987).
,[8] Foliations with measure preserving holonomy, Ann. of Math., 102 (1975), 327-361. | MR | Zbl
,[9] Asymptotic cycles, Ann. of Math., 66 (1957), 270-284. | MR | Zbl
,[10] Reduction of singularities of the differentiable equation A dy = B dx, Amer. J. of Math., (1968), 248-269. | MR | Zbl
,[11] 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] The topology of Holomorphic Flows with Singularity, Publications Mathématiques de l'IHES, 48 (1978), 5-38. | Numdam | MR | Zbl
, , ,Cité par Sources :