2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63209In this paper, we investigate whether the 124 nonsingular toric Fano 4-folds admit totally nondegenerate embeddings from abelian surfaces or not. As a result, we determine the possibilities for such embeddings except for the remaining 21 nonsingular toric Fano 4-folds.21 pages, Latex2eAlgebraic Geometry14M25; 14J45, 14K12Remarks on abelian surfaces in nonsingular toric Fano 4-foldstext