2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78564We simplify the usual statement of the Torelli theorem for complex Enriques surfaces, by means of a lattice-theoretic trick. This allows easy proofs of several known results, which previously required intricate arithmetic arguments. The main new result is that the moduli space has contractible universal cover.5 pages; submittedAlgebraic Geometry14J28 (11F55, 11E12)The Period Lattice for Enriques Surfacestext