Generalised André–Pink–Zannier conjecture for Shimura varieties of abelian type
This note describes the results of [6]. The main result is the proof of the Generalised André–Pink–Zannier conjecture in Shimura varieties of abelian type. The core result is a lower bound, in terms of height functions defined in [7], for the sizes of Galois orbits of points in generalised Hecke orbits, which is unconditional for Shimura varieties of abelian type.
Authors
- Rodolphe Richard
- Andrei Yafaev (ORCID: https://orcid.org/0000-0002-7089-4789)
Publication Details
- Journal
- Comptes Rendus Mathématique
- Published
- 2025-07-21
- DOI
- https://doi.org/10.5802/crmath.751
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Leverhulme Trust