Nous construisons des sous-variétés complexes fermées de , qui sont différentiablement des intersections complètes, mais qui ne le sont pas holomorphiquement. Nous établissons aussi un principe d’homotopie pour l’élimination des intersections avec certaines sous-variétés holomorphes de .
We construct closed complex submanifolds of which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of .
Keywords: complete intersections, homotopy principle
Mot clés : intersections complètes, principe d'homotopie
@article{AIF_2001__51_2_497_0, author = {Forstneri\v{c}, Franc}, title = {On complete intersections}, journal = {Annales de l'Institut Fourier}, pages = {497--512}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {51}, number = {2}, year = {2001}, doi = {10.5802/aif.1830}, mrnumber = {1824962}, zbl = {0991.32008}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1830/} }
TY - JOUR AU - Forstnerič, Franc TI - On complete intersections JO - Annales de l'Institut Fourier PY - 2001 SP - 497 EP - 512 VL - 51 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.1830/ DO - 10.5802/aif.1830 LA - en ID - AIF_2001__51_2_497_0 ER -
Forstnerič, Franc. On complete intersections. Annales de l'Institut Fourier, Tome 51 (2001) no. 2, pp. 497-512. doi : 10.5802/aif.1830. http://www.numdam.org/articles/10.5802/aif.1830/
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