Holomorphic factorization of mappings into SL_n(C)

By Björn Ivarsson, F. Kutzschebauch. 2008

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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.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ca389c2564f3a7a141de90e133ee355a0ffcf68e