Complete description of determinantal representations of smooth irreducible curves
From MaRDI portal
Publication:916743
DOI10.1016/0024-3795(89)90035-9zbMath0704.14041OpenAlexW1982421692MaRDI QIDQ916743
Publication date: 1989
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(89)90035-9
Determinantal varieties (14M12) Special algebraic curves and curves of low genus (14H45) Divisors, linear systems, invertible sheaves (14C20)
Related Items (49)
The Cayley--Hamilton theorem and inverse problems for multiparameter systems. ⋮ A positive proportion of cubic curves over Q admit linear determinantal representations ⋮ Spectral analysis near regular point of reducibility and representations of Coxeter groups ⋮ Determinantal representations of smooth cubic surfaces ⋮ Quantum compression relative to a set of measurements ⋮ Noncommutative convexity arises from linear matrix inequalities ⋮ The local-global principle for symmetric determinantal representations of smooth plane curves ⋮ Determinantal representations and the Hermite matrix ⋮ Reflection positivity via Krein space analysis ⋮ Unnamed Item ⋮ Determinantal representations of invariant hyperbolic plane curves ⋮ New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023 ⋮ Indecomposable matrices defining plane cubics ⋮ Invariants, bitangents, and matrix representations of plane quartics with 3-cyclic automorphisms ⋮ A behavioral interpretation of Livšic systems ⋮ On linearizations of the quadratic two-parameter eigenvalue problem ⋮ Projective joint spectra and characters of representations of \(\tilde{A}_n\) ⋮ Symmetric determinantal representation of polynomials ⋮ de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem ⋮ On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction ⋮ Projective spectrum and kernel bundle ⋮ Construction of Hardy spaces on Riemann surfaces with boundaries ⋮ Commuting operators over Pontryagin spaces with applications to system theory ⋮ Determinantal representations of hyperbolic plane curves: an elementary approach ⋮ Determinantal representations of singular hypersurfaces in \(\mathbb P^n\) ⋮ Spectral hypersurfaces for operator pairs and Hadamard matrices of \(F\) type ⋮ Determinantal representation and subschemes of general plane curves ⋮ Indefinite Hardy spaces on finite bordered Riemann surfaces ⋮ Determinantal hypersurfaces and representations of Coxeter groups ⋮ Livsic-type determinantal representations and hyperbolicity ⋮ Geometric aspects of multiparameter spectral theory ⋮ On the quadratic two-parameter eigenvalue problem and its linearization ⋮ Stable and real-zero polynomials in two variables ⋮ Elementary transformations of Pfaffian representations of plane curves ⋮ Real separated algebraic curves, quadrature domains, Ahlfors type functions and operator theory ⋮ Horn's problem, Vinnikov curves, and the hive cone ⋮ Explicit determinantal representations of up to quintic bivariate polynomials ⋮ On the characteristic polynomials of multiparameter pencils ⋮ NORMAL AND TRIANGULAR DETERMINANTAL REPRESENTATIONS OF MULTIVARIATE POLYNOMIALS ⋮ On the Determinantal Representation of Quaternary Forms ⋮ Real fibered morphisms and Ulrich sheaves ⋮ Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems ⋮ Discriminants of cubic curves and determinantal representations ⋮ LMI Representations of Convex Semialgebraic Sets and Determinantal Representations of Algebraic Hypersurfaces: Past, Present, and Future ⋮ An algorithm to obtain linear determinantal representations of smooth plane cubics over finite fields ⋮ Expressing a general form as a sum of determinants ⋮ Elementary transformations of determinantal representations of algebraic curves ⋮ Self-adjoint determinantal representations of real plane curves ⋮ Determinantal representations of hyperbolic curves via polynomial homotopy continuation
Cites Work
This page was built for publication: Complete description of determinantal representations of smooth irreducible curves