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.

arXiv commentPlain Tex, 17 pages; some inaccuracies corrected in Section 2

Cited by in corpus (9)

• Andreotti-Mayer loci and the Schottky problem
• Complete moduli of cubic threefolds and their intermediate Jacobians
• The class of the locus of intermediate Jacobians of cubic threefolds
• Geometry of theta divisors --- a survey
• Singularities of theta divisors and the geometry of A_5
• The Schottky problem in genus five
• Geometry of A_g and Its Compactifications
• Theta functions on the theta divisor
• The loci of abelian varieties with points of high multiplicity on the theta divisor