2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76528In this paper we explain the complete biregular classification of all 4-dimensional smooth toric Fano varieties. The main result states that there exist exactly 123 different types of toric Fano 4-folds up to isomorphism.46 pages, AMS-LaTeXAlgebraic GeometryCombinatorics14M25 (Primary), 52B20 (Secondary)On the Classification of Toric Fano 4-foldstext