Some explicit solutions of the additive Deligne--Simpson problem and their applications.

DOI10.1016/S0001-8708(02)00077-4zbMath1035.15015arXivmath/0105184MaRDI QIDQ1408806

Oleg Gleizer

Publication date: 25 September 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105184

zbMATH Keywords

eigenvaluessymmetric matricessymmetric bilinear formslogarithmic polesrigid local systemsKlyachko inequalitiesFuchsian systemsDeligne-Simpson problemhypergeometric equation of Gauss-Riemann

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63)

Related Items

On sums and products of Matrix similarity classes I ⋮ On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero ⋮ The Deligne-Simpson problem -- survey ⋮ Symmetries of the hypergeometric function \phantom{}_{𝑚}𝐹_{𝑚-1} ⋮ Goursat rigid local systems of rank four

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