A solution of Gromov's Vaserstein problem

Ivarsson, Björn; Kutzschebauch, Frank

Comptes Rendus. Mathématique, Tome 346 (2008) no. 23-24, pp. 1239-1243.

Nous annonçons qu'une application holomorphe homotopiquement triviale d'un espace de Stein réduit de dimension finie vers ${\mathrm{SL}}_n(\mathbb{C})$ peut être factorisée par un produit fini de matrices unipotentes à coefficients holomorphes.

We announce that a null-homotopic holomorphic mapping from a finite dimensional reduced Stein space into ${\mathrm{SL}}_n(\mathbb{C})$ can be factored into a finite product of unipotent matrices with holomorphic entries.

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