Computation of Riemann matrices for the hyperbolic curves of determinantal polynomials

DOI10.1215/20088752-3773229zbMath1360.15024OpenAlexW2571809391MaRDI QIDQ516330

Mao-Ting Chien, Hiroshi Nakazato

Publication date: 14 March 2017

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1484363067

zbMATH Keywords

latticeHermitian matricesnumerical rangeToeplitz matricesperiod matrixRiemann theta functionshyperbolic curveAbel-Jacobi varietyhyperbolic determinantal formRiemann matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Theta functions and abelian varieties (14K25) Theta functions and curves; Schottky problem (14H42) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (4)

Symmetric representation of ternary forms associated to some Toeplitz matrices ⋮ Characterization of numerical radius parallelism in \(C^*\)-algebras ⋮ Theta divisor and Abel map for 4-by-4 matrices ⋮ Abel theorem and inverse numerical range

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