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

Ciro Ciliberto, Gerard van der Geer

math.AGarXiv:math/9911127

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.

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