2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224634We extend the usual projective Abel-Radon transform to the larger context of a smooth complete toric variety X. We define and study toric concavity attached to an algebraic splitting vector bundle on X and we prove a toric version of the Abel-inverse theorem.27 pages. New version (modified introduction)Complex VariablesAlgebraic Geometry32 XX; 14 XXConcavity, Abel-transform and the Abel-inverse theorem in smooth complete toric varietiestext