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arXiv · 1506.01466

A proof of the Andre-Oort conjecture for A_g

Jacob Tsimerman
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Abstract

We give a proof of the Andr\'e-Oort conjecture for $\mathcal{A}_g$ - the moduli space of principally polarized abelian varieties. In particular, we show that a recently proven `averaged' version of the Colmez conjecture yields lower bounds for Galois orbits of CM points. The Andr\'e-Oort conjecture then follows from previous work of Pila and the author.

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Jacob Tsimerman. 2015-06-04. A proof of the Andre-Oort conjecture for A_g. https://arxiv.org/abs/1506.01466

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