2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100857We show that the counting of rational curves on a complete toric variety that are in general position to the toric prime divisors coincides with the counting of certain tropical curves. The proof is algebraic-geometric and relies on degeneration techniques and log deformation theory. This generalizes results of Mikhalkin obtained by different methods in the surface case to arbitrary dimensions.41 pages, 3 figures; (v3: Multiplicity definition and Prop.6.3 corrected, Example 9.2,(4) added)Algebraic Geometry14N10; 14M25; 14N35text