2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79424In this paper we give a lower bound for the codimension of the Andreotti-Mayer loci in the moduli space of principally polarized complex abelian varieties. We also present a conjecture on this codimension.Plain Tex, 17 pages; some inaccuracies corrected in Section 2Algebraic GeometryThe Moduli Space of Abelian Varieties and the Singularities of the Theta Divisortext