VECTOR RANK OF COMMUTING MATRIX DIFFERENTIAL OPERATORS. PROOF OF S. P. NOVIKOV'S CRITERION

DOI10.1070/IM1987v028n03ABEH000892zbMath0623.47049OpenAlexW2047702250MaRDI QIDQ3761162

Petr G. Grinevich

Publication date: 1987

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1987v028n03abeh000892

zbMATH Keywords

holomorphic bundleNovikov's criterionBurchnall-Chaundy curvecommuting pair of differential operatorsoperator with periodic coefficients

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Ordinary differential operators (34L99)

Related Items (3)

The AKNS hierarchy and finite-gap Schrödinger potentials ⋮ Burchnall-Chaundy polynomials for matrix ODOs and Picard-Vessiot theory ⋮ Surprising examples of nonrational smooth spectral surfaces

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