The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for split rational maps

DOI10.4171/JEMS/869zbMath1426.37064arXiv1511.06081WikidataQ123124600 ScholiaQ123124600MaRDI QIDQ2416381

Khoa D. Nguyen, Dragos Ghioca, He-Xi Ye

Publication date: 23 May 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06081

zbMATH Keywords

Julia setrational functiondynamical Manin-Mumford conjectureequidistribution of points of small height

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) 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)

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