Le théorème de complexification semi-propre
Annales de l'Institut Fourier, Volume 33 (1983) no. 1, pp. 53-65.

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.

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.

     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},
     zbl = {0487.32003},
     mrnumber = {84g:32010},
     language = {fr},
     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.904/}
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Fortuna, E.; Galbiati, M. Le théorème de complexification semi-propre. Annales de l'Institut Fourier, Volume 33 (1983) no. 1, pp. 53-65. doi : 10.5802/aif.904. https://aif.centre-mersenne.org/articles/10.5802/aif.904/

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