2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215317Topology 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:0705.0805Mathematical PhysicsAlgebraic Topology37K10, 57R19, 37C10The Volterra system and topology of the isospectral variety of zero-diagonal Jacobi matricestext