Publications (16)
On Ï-exponentials II : Closed formula for the index
Rodolphe Richard
(Quoted from the article) This article pursue the series, initiated by [Ric14], dedicated to Pulita's Ï-exponentials and p-adic differential equation of rank one with coefficients…
Generalised André-Pink-Zannier Conjecture for Shimura varieties of abelian type
Rodolphe Richard, Andrei Yafaev
In this paper, we prove the generalised André-Pink-Zannier conjecture (an important case of the Zilber-Pink conjecture) for all Shimura varieties of abelian type. Questions of thi…
Constructing abelian extensions with prescribed norms
Christopher Frei, Rodolphe Richard
Given a number field , a finite abelian group and finitely many elements , we construct abelian extensions with Galois group that realise al…
Inner Galois Equidistribution in S-Hecke orbits
Rodolphe Richard, Andrei Yafaev
We obtain results on the so-called Andre-Pink-Zannier conjecture which is a special case of a the Zilber-Pink conjecture on unlikely intersections in Shimura varieties. Our methods…
Heights on 'Hybrid orbits' in Shimura varieties
Rodolphe Richard, Andrei Yafaev
We prove the 'hybrid conjecture' which is a common generalisation of the Andreé-Oort conjecture and the André-Pink-Zannier conjecture, in the case of Shimura varieties of abelian…
A mod p variant of the André-Oort conjecture
Bas Edixhoven, Rodolphe Richard
We state and prove a variant of the André-Oort conjecture for the product of 2 modular curves in positive characteristic, assuming GRH for quadratic fields.