On the generalised André–Pink–Zannier conjecture.

We introduce and study the notion of a generalised Hecke orbit in a Shimura variety. We define a height function on such an orbit and study its properties. We obtain lower bounds for the sizes of Galois orbits of points in a generalised Hecke orbit in terms of this height function, assuming the “wea...

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Bibliographic Details
Main Authors: Richard, Rodolphe, Yafaev, Andrei
Format: Article
Language:English
Published: Académie des sciences 2023-12-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.491/
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