On complete intersections

Forstnerič, Franc

Annales de l'Institut Fourier, Tome 51 (2001) no. 2, pp. 497-512.

Nous construisons des sous-variétés complexes fermées de ${ℂ}^n$, 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 ${ℂ}^n$.

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

Classification : 32C25, 32Q28, 32Q55, 57R40
Keywords: complete intersections, homotopy principle
Mot clés : intersections complètes, principe d'homotopie

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