Abstract
We give a proof of the André-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 André-Oort conjecture then follows from previous work of Pila and the author.
Citation
Jacob Tsimerman. "The André-Oort conjecture for 𝒜_g." Ann. of Math. (2) 187 (2) 379 - 390, March 2018. https://doi.org/10.4007/annals.2018.187.2.2
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