2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61148The goal of this paper is to introduce Hodge 1-motives of algebraic varieties and to state a corresponding cohomological Grothendieck-Hodge conjecture, generalizing the classical Hodge conjecture to arbitrarily singular proper schemes.30 pages, LaTeX (using AMS symbols)Algebraic Geometry14C30, 14F42 (Primary) 19E15 (Secondary)text