Il est bien connu que l’image d’une application analytique complexe semi-propre est un ensemble analytique; dans le cas réel elle est en général sous-analytique. Dans cet article on donne des conditions pour la semi-analyticité de l’image d’une application analytique réelle, semi-propre qui admet une complexification semi-propre.
It is well-known that the image of a complex analytic semi-proper map is an analytic set; in the real case, the image is in general subanalytic. In this paper we find a condition for the semi-analyticity of the image of a real analytic semi-proper map which has a semi-proper complexification.
@article{AIF_1983__33_1_53_0, author = {Fortuna, E. and Galbiati, M.}, title = {Le th\'eor\`eme de complexification semi-propre}, journal = {Annales de l'Institut Fourier}, pages = {53--65}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {33}, number = {1}, year = {1983}, doi = {10.5802/aif.904}, mrnumber = {84g:32010}, zbl = {0487.32003}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/aif.904/} }
TY - JOUR AU - Fortuna, E. AU - Galbiati, M. TI - Le théorème de complexification semi-propre JO - Annales de l'Institut Fourier PY - 1983 SP - 53 EP - 65 VL - 33 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.904/ DO - 10.5802/aif.904 LA - fr ID - AIF_1983__33_1_53_0 ER -
Fortuna, E.; Galbiati, M. Le théorème de complexification semi-propre. Annales de l'Institut Fourier, Tome 33 (1983) no. 1, pp. 53-65. doi : 10.5802/aif.904. http://www.numdam.org/articles/10.5802/aif.904/
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