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}, mrnumber = {94d:32012}, zbl = {0782.32015}, language = {en}, url = {http://www.numdam.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 - http://www.numdam.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 http://www.numdam.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. http://www.numdam.org/articles/10.5802/aif.1340/
[1] The Lefschetz theorem on hyperplane sections, Ann. Math., 69 (1959), 713-717. | MR | Zbl
and ,[2] A necessary condition for global Stein immersion of compact CR manifolds, to appear in Riv. Mat. Parma. | Zbl
and ,[3] An Introduction to Complex Analysis in Several Complex Variables, Van Nostrand, Princeton, 1966. | Zbl
,[4] Morse Theory, Ann. Math. Studies, Princeton, 51 (1963). | Zbl
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