Elementary transformations of determinantal representations of algebraic curves

DOI10.1016/0024-3795(90)90113-QzbMath0732.14011MaRDI QIDQ809155

Victor Vinnikov

Publication date: 1990

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

zbMATH Keywords

Jacobian varietydivisorsdeterminantal representation of a projective plane curve

Mathematics Subject Classification ID

Determinantal varieties (14M12) Jacobians, Prym varieties (14H40) Vector bundles on curves and their moduli (14H60) Curves in algebraic geometry (14H99)

Related Items (6)

Reflection positivity via Krein space analysis ⋮ A behavioral interpretation of Livšic systems ⋮ de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem ⋮ Elementary transformations of Pfaffian representations of plane curves ⋮ Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems ⋮ Self-adjoint determinantal representations of real plane curves

Cites Work

• Regular colligations for several commuting operators in Banach space
• Complete description of determinantal representations of smooth irreducible curves
• Cayley-Hamilton theorem, vector bundles and divisors of commuting operators
• LINE BUNDLES AND HOMOGENEOUS MATRICES
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