2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125598We study the hyperkaehler geometry of a regular semisimple adjoint orbit of SL(k,C) via the algebraic geometry of the corresponding reducible spectral curve.21 pages; bibliography updated, misprints corrected; final version, to appear in the Journal of the LMSDifferential GeometryAlgebraic Geometry53C26; 14L30; 14H42; 14H70text