The topology of Stein CR manifolds and the Lefschetz theorem
Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 459-468.

On donne des conditions topologiques nécessaires pour l’immersion d’une variété CR dans un espace de Stein ou dans un espace projectif complexe

Necessary topological conditions are given for the closed CR embedding of a CR manifold into a Stein manifold or into a complex projective space.

@article{AIF_1993__43_2_459_0,
     author = {Hill, C. Denson and Nacinovich, Mauro},
     title = {The topology of {Stein} {CR} manifolds and the {Lefschetz} theorem},
     journal = {Annales de l'Institut Fourier},
     pages = {459--468},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {43},
     number = {2},
     year = {1993},
     doi = {10.5802/aif.1340},
     zbl = {0782.32015},
     mrnumber = {94d:32012},
     language = {en},
     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1340/}
}
TY  - JOUR
AU  - Hill, C. Denson
AU  - Nacinovich, Mauro
TI  - The topology of Stein CR manifolds and the Lefschetz theorem
JO  - Annales de l'Institut Fourier
PY  - 1993
SP  - 459
EP  - 468
VL  - 43
IS  - 2
PB  - Institut Fourier
PP  - Grenoble
UR  - https://aif.centre-mersenne.org/articles/10.5802/aif.1340/
DO  - 10.5802/aif.1340
LA  - en
ID  - AIF_1993__43_2_459_0
ER  - 
%0 Journal Article
%A Hill, C. Denson
%A Nacinovich, Mauro
%T The topology of Stein CR manifolds and the Lefschetz theorem
%J Annales de l'Institut Fourier
%D 1993
%P 459-468
%V 43
%N 2
%I Institut Fourier
%C Grenoble
%U https://aif.centre-mersenne.org/articles/10.5802/aif.1340/
%R 10.5802/aif.1340
%G en
%F AIF_1993__43_2_459_0
Hill, C. Denson; Nacinovich, Mauro. The topology of Stein CR manifolds and the Lefschetz theorem. Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 459-468. doi : 10.5802/aif.1340. https://aif.centre-mersenne.org/articles/10.5802/aif.1340/

[1] A. Andreotti and T. Frankel, The Lefschetz theorem on hyperplane sections, Ann. Math., 69 (1959), 713-717. | MR | Zbl

[2] C.D. Hill and M. Nacinovich, A necessary condition for global Stein immersion of compact CR manifolds, to appear in Riv. Mat. Parma. | Zbl

[3] L. Hörmander, An Introduction to Complex Analysis in Several Complex Variables, Van Nostrand, Princeton, 1966. | Zbl

[4] J. Milnor, Morse Theory, Ann. Math. Studies, Princeton, 51 (1963). | Zbl

Cité par Sources :