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DAO for curves

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arxiv 2302.02583 v2 pith:BO55W3S4 submitted 2023-02-06 math.DS math.AGmath.NT

Zhuchao Ji , Junyi Xie This is my paper · ORCID
classification math.DSmath.AGmath.NT
keywords curvesprovealgebraicandrbakerbogomolovconjecturecurve
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We prove the Dynamical Andr\'e-Oort (DAO) conjecture proposed by Baker and DeMarco for families of rational maps parameterized by an algebraic curve. In fact, we prove a stronger result, which is a Bogomolov type generalization of DAO for curves.

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Cited by 2 Pith papers

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

  1. Julia sets and bifurcation loci

    math.DS 2024-11 conditional novelty 7.0 of 10

    The small Julia set of a polynomial endomorphism, the strong bifurcation locus of cubic polynomials, and the Julia set of a Hénon map are pairwise distinct in C^2.

  2. Global pluripotential theory for adelic line bundles

    math.AG 2025-07 conditional novelty 6.0 of 10

    The category of strongly semiample adelic line bundles on a quasi-projective arithmetic variety is equivalent to line bundles on its Berkovich analytification with norm-equivariant continuous semipositive metrics.

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