The Andre-Oort conjecture for the moduli space of Abelian Surfaces

Abstract

We provide an unconditional proof of the André-Oort conjecture for the coarse moduli space ${\mathcal{A}}_{2,1}$ of principally polarized Abelian surfaces, following the strategy outlined by Pila-Zannier.

14 pages

Cited by in corpus (11)

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• Finiteness theorems for K3 surfaces and abelian varieties of CM type
• Families of abelian varieties with many isogenous fibres
• A non-archimedean Ax-Lindemann theorem
• Quantitative reduction theory and unlikely intersections
• Bad reduction of genus $2$ curves with CM jacobian varieties
• Heights of pre-special points of Shimura varieties
• Unlikely intersections with isogeny orbits in a product of elliptic schemes
• Effective André-Oort for non-compact curves in Hilbert modular varieties
• Holomorphic curves in mixed Shimura varieties
• Derivatives of L-functions