Ax-Lindemann for \mathcal{A}_g

Abstract

We prove the Ax-Lindemann theorem for the coarse moduli space ${\mathcal{A}}_g$ of principally polarized abelian varieties of dimension $g\ge 1$, and affirm the André-Oort conjecture unconditionally for ${\mathcal{A}}_g$ for $g\le 6$.

21 pages. Accepted for publication in Annals of Mathematics

Cited by in corpus (1)

• Families of abelian varieties with many isogenous fibres