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arXiv:2109.08788math.NT

Canonical Heights on Shimura Varieties and the André-Oort Conjecture

Jonathan Pila, Ananth N. Shankar, Jacob Tsimerman, Hélène Esnault, Michael Groechenig

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Abstract

The main purpose of this work is to prove the André-Oort conjecture in full generality.

arXiv comments
The argument has been substantially rewritten to make it clearer, including introduced the notion of a "Solid Height Function" on CM points to make precise what properties are essential
Journal reference
DOI
Subjects
math.NTNumber Theory math.AGAlgebraic Geometry

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