2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69124In this paper, we study triples of the form (E, theta, phi) over a compact Riemann Surface, where (E, theta) is a Higgs bundle and phi is a global holomorphic section of the Higgs bundle. Our main result is a description of a birational equivalence which relates geometrically the moduli space of Higgs bundles of rank r and degree d to the moduli space of Higgs bundles of rank (r-1) and degree d.20 pages, same as before, with a correction in the referencesAlgebraic Geometry14D20; 14E05text