On complete intersections
[Sur les intersections complètes]
Annales de l'Institut Fourier, Tome 51 (2001) no. 2, pp. 497-512.

Nous construisons des sous-variétés complexes fermées de n , 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 n .

We construct closed complex submanifolds of n which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of n .

DOI : 10.5802/aif.1830
Classification : 32C25, 32Q28, 32Q55, 57R40
Keywords: complete intersections, homotopy principle
Mot clés : intersections complètes, principe d'homotopie
Forstnerič, Franc 1

1 University of Ljubljana, IMFM, Jadranska 19, 1000 Ljubljana (Slovénie)
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Forstnerič, Franc. On complete intersections. Annales de l'Institut Fourier, Tome 51 (2001) no. 2, pp. 497-512. doi : 10.5802/aif.1830. http://archive.numdam.org/articles/10.5802/aif.1830/

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