Holomorphic factorization of mappings into SLn(C)

• 成果类型: Article
• 署名作者: Ivarsson, Bjoern; Kutzschebauch, Frank
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.1.3
• 发表日期: 2012
• 页码: 45-69
• 关键词: embeddings; PRINCIPLE; sections

摘要

We solve Gromov's Vaserstein problem. Namely, we show that a null-homotopic holomorphic mapping from a finite dimensional reduced Stein space into SLn (C) can be factored into a finite product of unipotent matrices with holomorphic entries.