An universal analytic structure is construted on the set of (singular) holomorphic foliations on a normal compact space. Such a foliation is by definition a coherent subsheaf of the holomorphic tangent sheaf stable by the Lie-bracket
On munit d’une structure analytique universelle l’ensemble des feuilletages holomorphes sur un espace compact normal. Par définition un feuilletage holomorphe est un sous-faisceau cohérent du faisceau tangent holomorphe stable par le crochet de Lie.
@article{AIF_1987__37_2_33_0, author = {Pourcin, Genevi\`eve}, title = {Deformations of coherent foliations on a compact normal space}, journal = {Annales de l'Institut Fourier}, pages = {33--48}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {37}, number = {2}, year = {1987}, doi = {10.5802/aif.1085}, mrnumber = {88k:32057}, zbl = {0587.32037}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1085/} }
TY - JOUR AU - Pourcin, Geneviève TI - Deformations of coherent foliations on a compact normal space JO - Annales de l'Institut Fourier PY - 1987 SP - 33 EP - 48 VL - 37 IS - 2 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1085/ DO - 10.5802/aif.1085 LA - en ID - AIF_1987__37_2_33_0 ER -
%0 Journal Article %A Pourcin, Geneviève %T Deformations of coherent foliations on a compact normal space %J Annales de l'Institut Fourier %D 1987 %P 33-48 %V 37 %N 2 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.1085/ %R 10.5802/aif.1085 %G en %F AIF_1987__37_2_33_0
Pourcin, Geneviève. Deformations of coherent foliations on a compact normal space. Annales de l'Institut Fourier, Volume 37 (1987) no. 2, pp. 33-48. doi : 10.5802/aif.1085. http://archive.numdam.org/articles/10.5802/aif.1085/
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