Deformations of coherent foliations on a compact normal space

Geneviève Pourcin

Annales de l'institut Fourier (1987)

  • Volume: 37, Issue: 2, page 33-48
  • ISSN: 0373-0956

Abstract

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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

How to cite

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Pourcin, Geneviève. "Deformations of coherent foliations on a compact normal space." Annales de l'institut Fourier 37.2 (1987): 33-48. <http://eudml.org/doc/74756>.

@article{Pourcin1987,
abstract = {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},
author = {Pourcin, Geneviève},
journal = {Annales de l'institut Fourier},
keywords = {analytic space; deformations of coherent foliations; compact normal space},
language = {eng},
number = {2},
pages = {33-48},
publisher = {Association des Annales de l'Institut Fourier},
title = {Deformations of coherent foliations on a compact normal space},
url = {http://eudml.org/doc/74756},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Pourcin, Geneviève
TI - Deformations of coherent foliations on a compact normal space
JO - Annales de l'institut Fourier
PY - 1987
PB - Association des Annales de l'Institut Fourier
VL - 37
IS - 2
SP - 33
EP - 48
AB - 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
LA - eng
KW - analytic space; deformations of coherent foliations; compact normal space
UR - http://eudml.org/doc/74756
ER -

References

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  1. [1] P. BAUM, Structure of foliation singularities, Advances in Math., 15 (1975), 361-374. Zbl0296.57007MR51 #13298
  2. [2] G. BOHNHORST and H. J. REIFFEN, Holomorphe blatterungen mit singularitäten, Math. Gottingensis, heft 5 (1985). 
  3. [3] H. CARTAN, Faisceaux analytiques cohérents, C.I.M.E., Edizioni Cremonese, 1963. Zbl0178.42701
  4. [4] A. DOUADY, Le problème des modules pour les sous-espaces analytiques..., Ann. Inst. Fourier, XVI, Fasc. 1 (1966), 1-96. Zbl0146.31103
  5. [5] B. MALGRANGE, Frobenius avec singularités-codimension 1, Pub I.H.E.S., n°46 (1976). Zbl0355.32013MR58 #22685a
  6. [6] G. POURCIN, Sous-espaces privilégiés d'un polycylindre, Ann. Inst. Fourier, XXV, Fasc. 1 (1975), 151-193. Zbl0297.32010MR52 #11118
  7. [7] Y. T. SIU et G. TRAUTMANN, Gap-sheaves and extension of coherent analytic subsheaves, Lect. Notes, 172 (1971). Zbl0208.10403MR44 #4240
  8. [8] T. SUWA, Singularities of complex analytic foliations, Proceedings of Symposia in Pure mathematics, Vol. 40 (1983), Part.2 Zbl0552.32008MR85a:32029

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