2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65395We give a structure theorem for n-dimensional smooth toric Fano varieties whose associated polytope has "many" pairs of centrally symmetric vertices.LaTeX, 15 pagesAlgebraic GeometryCombinatorics14J45; 14M25; 52B20Centrally symmetric generators in toric Fano varietiestext