A Dynamical Variant of the André-Oort Conjecture

DOI10.1093/imrn/rnw314zbMath1442.37119OpenAlexW2579530927WikidataQ123356543 ScholiaQ123356543MaRDI QIDQ4619368

Dragos Ghioca, He-Xi Ye

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bbde8e4680e22345525d25848e65257856d3258b

zbMATH Keywords

moduli spacespecial subvarietiescritical orbit relations

Mathematics Subject Classification ID

Heights (11G50) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Related Items (12)

Critical orbits of polynomials with a periodic point of specified multiplier ⋮ Irreducibility of periodic curves in cubic polynomial moduli space ⋮ Variation of canonical height for Fatou points on \(\mathbb{P}^1\) ⋮ Quasi-adelic measures and equidistribution on ⋮ Invariant curves for endomorphisms of \(\mathbb{P}^1 \times \mathbb{P}^1\) ⋮ DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE ⋮ Degeneration of quadratic polynomial endomorphisms to a Henon map ⋮ Continuity of the Green function in meromorphic families of polynomials ⋮ KAWA 2015: Dynamical moduli spaces and elliptic curves ⋮ Some problems of arithmetic origin in rational dynamics ⋮ Current trends and open problems in arithmetic dynamics ⋮ Degree gaps for multipliers and the dynamical André–Oort conjecture

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