A solution of Gromov's Vaserstein problem

Björn Ivarsson; Frank Kutzschebauch

doi:10.1016/j.crma.2008.10.017

Complex Analysis

A solution of Gromov's Vaserstein problem
[Une solution du problème de Vaserstein tel qu'énoncé par Gromov]

Présenté par : Mikhaël Gromov

Björn Ivarsson ¹ ; Frank Kutzschebauch ¹

¹ Departement Mathematik, Universität Bern, Sidlerstrasse 5, CH–3012 Bern, Switzerland

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

Résumé
Abstract

Nous annonçons qu'une application holomorphe homotopiquement triviale d'un espace de Stein réduit de dimension finie vers ${SL}_{n} (C)$ 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 ${SL}_{n} (C)$ can be factored into a finite product of unipotent matrices with holomorphic entries.

Reçu le : 2008-07-25
Accepté le : 2008-10-23
Publié le : 2008-11-18

DOI : 10.1016/j.crma.2008.10.017

Affiliations des auteurs :

Björn Ivarsson ¹ ; Frank Kutzschebauch ¹

¹ Departement Mathematik, Universität Bern, Sidlerstrasse 5, CH–3012 Bern, Switzerland

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Björn Ivarsson; Frank Kutzschebauch. A solution of Gromov's Vaserstein problem. Comptes Rendus. Mathématique, Volume 346 (2008) no. 23-24, pp. 1239-1243. doi : 10.1016/j.crma.2008.10.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.10.017/

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Frank Kutzschebauch; Sam Lodin Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space, Duke Mathematical Journal, Volume 162 (2013) no. 1 | DOI:10.1215/00127094-1958969
Björn Ivarsson; Frank Kutzschebauch Holomorphic factorization of mappings into SL_n(C), Annals of Mathematics, Volume 175 (2012) no. 1, p. 45 | DOI:10.4007/annals.2012.175.1.3

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