Ax-Lindemann for \mathcal{A}_g

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 $g\le 6$.

Bibliographic Details
Main Authors: Pila, J, Tsimerman, J
Format: Journal article
Published: 2012