Abstract
We prove the Ax-Lindemann theorem for the coarse moduli space $\mathcal{A}_{g}$ of principally polarized abelian varieties of dimension $g\ge 1$. We affirm the André-Oort conjecture unconditionally for $\mathcal{A}_g$ for $g\le 6$, and under GRH for all $g$.
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TITLE = {{$G$}-Functions and Geometry},
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AUTHOR = {Platonov, Vladimir and Rapinchuk, Andrei},
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VOLUME = {139},
PUBLISHER = {Academic Press},
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YEAR = {1994},
PAGES = {xii+614},
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JOURNAL = {J. Reine Angew. Math.},
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