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