2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134501Comessatti proved that the set of real points of a rational real algebraic surface is either a nonorientable surface, or the two-sphere, or the torus. Conversely, it is easy to see that all of these surfaces admit a rational real algebraic model. We prove that they admit exactly one rational real algebraic model. This was known earlier only for the two-sphere, torus, projective plane and the Klein bottle.21 pages; LaTeX; complete revision of version 1Algebraic Geometry14P259 (Primary); 14E07 (Secondary)text