2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63853We prove the conjecture of Oort that a compact subvariety of the moduli space of principally polarized Abelian varieties of genus g has codimension strictly greater than g, for g > 2, in characteristic zero17 pages, AmSTeX Final Version, to appear in JAMSAlgebraic GeometryDifferential Geometry14K10text