Exponential factorizations of holomorphic maps

DOI10.1112/blms.12294zbMath1450.30073arXiv1905.01650OpenAlexW3101707140WikidataQ114077922 ScholiaQ114077922MaRDI QIDQ5110586

Luca Studer, Frank Kutzschebauch

Publication date: 21 May 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01650

zbMATH Keywords

Riemann surfacesfactorization of matricesdisk algebraexponential matricesmatrices of holomorphic functions

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Matrix exponential and similar functions of matrices (15A16) Algebras of analytic functions of one complex variable (30H50)

Related Items (5)

Factorization of holomorphic matrices and Kazhdan's property (T) ⋮ Linearization of holomorphic families of algebraic automorphisms of the affine plane ⋮ On exponential factorizations of matrices over Banach algebras ⋮ On holomorphic matrices on bordered Riemann surfaces ⋮ Unipotent factorization of vector bundle automorphisms

Cites Work

• Reducibility of invertible tuples to the principal component in commutative Banach algebras
• Holomorphic factorization of mappings into \(\mathrm{SL}_n(\mathbb{C})\)
• Logarithms and exponentials in the matrix algebra \({\mathcal M}_2(A)\)
• Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings
• Stable rank of rings and dimensionality of topological spaces
• \(K\)-theory and stable algebra
• Stable Rank of the Disc Algebra
• The Immersion of an Open 3-Manifold in Euclidean 3-Space
• The Oka principle for multivalued sections of ramified mappings
• Stein Manifolds and Holomorphic Mappings

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