2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137514Toric log Del Pezzo surfaces with Picard number 1 have been completely classified whenever their index is $\le 2$: In this paper we extend the classification for those having index 3: We prove that, up to isomorphism, there are exactly 18 surfaces of this kind.Algebraic GeometryCombinatorics14M25 (Primary); 14J26, 14Q10 (Secondary).Classification of Toric log Del Pezzo Surfaces having Picard Number 1 and Index $\le 3$text