The Volterra system and topology of the isospectral variety of zero-diagonal Jacobi matrices

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Topology of the isospectral variety of zero-diagonal Jacobi matrices is investigated using the Volterra system.
2 pages, AMS-LaTeX, short communication; v2,v3: minor corrections; v4: shortened in order to fit "Russian Math. Surveys" requirements. See also more extended text arXiv:0705.0805

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