2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140607Some of the 124 toric Fano 4-folds contain abelian surfaces but most do not: in a few cases it is not known whether they do or not. By elementary methods, with a little computer help, we exclude some more possibilities.Algebraic Geometry14E05; 14K05; 14M25Numerical obstructions to abelian surfaces in toric Fano 4-foldstext