2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129662Let X be a geometrically connected smooth projective curve of genus one, defined over the field of real numbers, such that X does not have any real points. We classify the isomorphism classes of all stable real algebraic vector bundles over X.Transactions of the AMS (to appear)Algebraic Geometry14H60; 14P99text