Jacob Tsimerman
Published 2015-06-04Version 1
We give a proof of the Andre-Oort conjecture for $\mathcal{A}_g$. In particular, we show that a recently proven `averaged' version of the Colmez conjecture yields lower bounds for Galois orbits of CM points. The Andre-Oort conjecture then follows from previous work of Pila and the author.
Galois orbits and equidistribution: towards the Andre-Oort conjecture
p-adic equidistribution of CM points
The distribution of Galois orbits of points of small height in toric varieties
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