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Canonical Heights on Shimura Varieties and the Andr\'e-Oort Conjecture

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arxiv 2109.08788 v4 pith:HUVDSA2H submitted 2021-09-18 math.NT math.AG

Jonathan Pila , Ananth N. Shankar , Jacob Tsimerman , Hélène Esnault , Michael Groechenig This is my paper · ORCID
classification math.NTmath.AG
keywords andrconjecturee-oortcanonicalfullgeneralityheightsmain
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The main purpose of this work is to prove the Andr\'e-Oort conjecture in full generality.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. What makes an algebraic curve special?

    math.AG 2025-02 conditional novelty 3.0 of 10

    A survey of special curves and special subvarieties of moduli space, unifying Hodge-theoretic, Teichmüller, and bi-algebraic perspectives, with a few new results and conjectures.

  2. Unlikely intersections in Shimura varieties and beyond: a survey

    math.NT 2025-06 accept

    A survey of unlikely intersections in pure Shimura varieties, covering Andre-Oort, Andre-Pink-Zannier, Zilber-Pink, and the Pila-Zannier strategy.

  3. Hodge theory and o-minimality at CIRM

    math.AG 2025-02 unverdicted

    Survey lecture notes connecting o-minimality, Ax-Schanuel theorems, and the Zilber-Pink conjecture for Hodge loci, with no new results.

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