Geodesic
Holomorphic factorization of mappings into $\mathrm{SL}_n(\mathbb{C})$
Björn Ivarsson1 ; Frank Kutzschebauch2
1 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
2 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern<br/>Switzerland
Annals of mathematics, Tome 175 (2012) no. 1, pp. 45-69.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We solve Gromov’s Vaserstein problem. Namely, we show 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.
DOI : 10.4007/annals.2012.175.1.3

Björn Ivarsson 1 ; Frank Kutzschebauch 2

1 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
2 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern<br/>Switzerland 
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Björn Ivarsson; Frank Kutzschebauch. Holomorphic factorization of mappings into $\mathrm{SL}_n(\mathbb{C})$. Annals of mathematics, Tome 175 (2012) no. 1, pp. 45-69. doi : 10.4007/annals.2012.175.1.3. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.1.3/

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