On the number of factors in the unipotent factorization of holomorphic mappings into $SL_{2}(\mathbb{C})$

DOI10.1090/S0002-9939-2011-11025-6zbMath1250.32009arXiv1012.1025OpenAlexW1568518243MaRDI QIDQ2880642

Frank Kutzschebauch, Björn Ivarsson

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1025

zbMATH Keywords

sprayStein spaceholomorphic submersion

Mathematics Subject Classification ID

Stein spaces (32E10) Holomorphic bundles and generalizations (32L05)

Related Items (9)

New examples of Stein manifolds with volume density property ⋮ Generation of the special linear group by elementary matrices in some measure Banach algebras ⋮ Factorization of holomorphic matrices and Kazhdan's property (T) ⋮ On the bass stable rank of Stein algebras ⋮ On the factorization of matrices over commutative Banach algebras ⋮ Commutator width of Chevalley groups over rings of stable rank 1 ⋮ Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings ⋮ Holomorphic factorization of mappings into \(\mathrm{SL}_n(\mathbb{C})\) ⋮ On exponential factorizations of matrices over Banach algebras

Cites Work

• The Oka principle for sections of stratified fiber bundles
• Oka's principle for holomorphic submersions with sprays
• A solution of Gromov's Vaserstein problem
• On Kazhdan's property (T) for the special linear group of holomorphic functions
• Reduction of a Matrix Depending on Parameters to a Diagonal Form by Addition Operations
• Oka's Principle for Holomorphic Sections of Elliptic Bundles
• Extending holomorphic sections from complex subvarieties
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