Jonathan Pila, Jacob Tsimerman
Published 2012-06-12, updated 2013-11-18Version 3
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 Andr\'e-Oort conjecture unconditionally for $\mathcal{A}_{g}$ for $g\le 6$.
Comments: 21 pages. Accepted for publication in Annals of Mathematics
The Andre-Oort conjecture for the moduli space of Abelian Surfaces
A proof of the Andre-Oort conjecture for A_g
Cohomological Arithmetic Statistics for Principally Polarized Abelian Varieties over Finite Fields
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