The Moduli Space of Abelian Varieties and the Singularities of the Theta Divisor

Abstract

In 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 2