2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60034We show that the moduli space of rational elliptic surfaces admitting a section is locally a complex hyperbolic variety of dimension eight. We compare its Satake-Baily-Borel compactification with a compactification obtained by means of geometric invariant theory, considered by Miranda.The use of Weierstrass models led to a simplification and shortening of (the old) Section 3. We have now put this material in Section 2. We also added a few referencesAlgebraic Geometry14J15, 14J27, 32N10text