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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2023 Volume 114, Issue 4, Pages 579–590 (Mi mzm13961)

This article is cited in 2 papers

Orthogonal Curvilinear Coordinate Systems and Torsion-Free Sheaves over Reducible Spectral Curves

A. E. Mironovab, A. Senningera, I. A. Taimanovab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: The methods of finite-gap integration are used to construct orthogonal curvilinear coordinate systems in the Euclidean space corresponding to sheaves of rank one without torsion over reducible singular spectral curves.

Keywords: orthogonal curvilinear coordinates, finite-gap integration, spectral curve, torsion-free sheaf.

UDC: 517.957

MSC: 37K20 (14H70 37K25)

Received: 25.03.2023

DOI: 10.4213/mzm13961


 English version:
Mathematical Notes, 2023, 114:4, 573–582

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© Steklov Math. Inst. of RAS, 2024