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- W3203325239 abstract "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 a lower bounds for the size of Galois orbits of points in a generalised Hecke orbit in terms of these height, assuming a version of the Mumford-Tate conjecture. We then use it to prove the generalised Andr'e-Pink-Zannier conjecture under this assumption by implementing the Pila-Zannier strategy." @default.
- W3203325239 created "2021-10-11" @default.
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- W3203325239 date "2021-09-28" @default.
- W3203325239 modified "2023-09-27" @default.
- W3203325239 title "Height functions on Hecke orbits and the generalised Andr'e-Pink-Zannier conjecture" @default.
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- W3203325239 hasPublicationYear "2021" @default.
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