Deformations of transversely holomorphic flows on spheres and deformations of hopf manifolds

A. Haefliger

Compositio Mathematica (1985)

  • Volume: 55, Issue: 2, page 241-251
  • ISSN: 0010-437X

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Haefliger, A.. "Deformations of transversely holomorphic flows on spheres and deformations of hopf manifolds." Compositio Mathematica 55.2 (1985): 241-251. <http://eudml.org/doc/89717>.

@article{Haefliger1985,
author = {Haefliger, A.},
journal = {Compositio Mathematica},
keywords = {resonant vector fields; Lie algebra of holomorphic vector fields; holomorphic flow; transversely holomorphic foliation; versal deformation; Hopf manifold},
language = {eng},
number = {2},
pages = {241-251},
publisher = {Martinus Nijhoff Publishers},
title = {Deformations of transversely holomorphic flows on spheres and deformations of hopf manifolds},
url = {http://eudml.org/doc/89717},
volume = {55},
year = {1985},
}

TY - JOUR
AU - Haefliger, A.
TI - Deformations of transversely holomorphic flows on spheres and deformations of hopf manifolds
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 55
IS - 2
SP - 241
EP - 251
LA - eng
KW - resonant vector fields; Lie algebra of holomorphic vector fields; holomorphic flow; transversely holomorphic foliation; versal deformation; Hopf manifold
UR - http://eudml.org/doc/89717
ER -

References

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  1. [1] V. Arnold: Chapitres supplémentaires de la théorie des équations différentielles ordinaires. Moscou: Editions Mir (1980) traduction française. Zbl0455.34001MR626685
  2. [2] C. Borcea: Some remarks on deformations of Hopf manifolds. Rev. Roum. Math. pures et appl.26 (1981) 1287-1294. Zbl0543.32010MR646396
  3. [3] N. Brouchlinskaia: Finiteness theorem for familities of vector fields in the neighbourhood of a Poincaré-type singularity. Funct. Anal.5 (1971), english translation 177-181. Zbl0243.34008
  4. [4] A. Douady: Séminaire H. Cartan, exp. 3 (1960 -1961). 
  5. [5] T. Duchamp and M. Kalka, Deformation theory for holomorphic foliations. J. Diff. Geom.14 (1979) 317-337. Zbl0451.57015MR594704
  6. [6] T. Duchamp and M. Kalka: Holomorphic foliations and deformations of the Hopf foliation, preprint. Zbl0501.57010MR739141
  7. [7] J. Girbau, A. Haefliger and D. Sundararaman: On deformations of transversely holomorphic foliations, J. für die reine und ang. Math.345 (1983) 122-147. Zbl0538.32015MR717890
  8. [8] K. Kodaira and D.C. Spencer: On deformation of complex analytic structures, I, II, III. Ann. of Math.67 (1958) 328-466 and 71 (1960) 43-76. Zbl0128.16902MR112154
  9. [9] J. Wehler: Versal deformation of Hopf surfaces. J. für die reine und ang. Math.328 (1981) 22-32. Zbl0459.32009MR636192

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