Similarity of holomorphic matrices

DOI10.1016/0024-3795(88)90126-7zbMath0647.15006OpenAlexW2071827209MaRDI QIDQ1104378

Robert M. Guralnick

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90126-7

zbMATH Keywords

local similarityglobal similarityholomorphic matricesnoncompact Riemann surface

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Canonical forms, reductions, classification (15A21) Riemann surfaces (30F99)

Related Items

On normal forms of complex points of small C²-perturbations of real 4-manifolds embedded in a complex 3-manifold ⋮ A stable range for quadratic forms over commutative rings ⋮ On the similarity of holomorphic matrices ⋮ Strong feedback cyclization for systems over rings ⋮ Similarity of holomorphic matrices on 1-dimensional Stein spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representations under ring extensions: Latimer-MacDuffee and Taussky correspondences
• On holomorphically similar matrices
• On pointwise and analytic similarity of matrices
• A note on the local-global principle for similarity of matrices
• Similarity of matrices over local rings
• Cancellation of modules and groups and stable range of endomorphism rings
• Module equivalences: Local to global. When primitive polynomials represent units
• Power-cancellation of groups and modules
• Algebras over zero-dimensional rings
• Matrices similar on a Zariski-open set