2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125917We show that every smooth toric variety (and many other algebraic spaces as well) can be realized as a moduli space for smooth, projective, polarized varieties. Some of these are not quasi--projective. This contradicts a recent paper (Quasi--projectivity of moduli spaces of polarized varieties, Ann. of Math. 159 (2004) 597--639.).20 pages, published versionAlgebraic Geometry14D22, 14L30 (primary) 14M25 (secondary)text