Holomorphic factorization of mappings into SL_n(C)
Complex Variables
2008-12-02 v1
Abstract
We solve Gromov's Vaserstein problem. Namely, we show 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.
Keywords
Cite
@article{arxiv.0812.0312,
title = {Holomorphic factorization of mappings into SL_n(C)},
author = {Björn Ivarsson and Frank Kutzschebauch},
journal= {arXiv preprint arXiv:0812.0312},
year = {2008}
}
Comments
18 pages