2 citations · 2 across the 3 of their papers we have counts for
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Hybrid Conjecture in a Mixed Shimura variety
Rodolphe Richard, Andrei Yafaev
The authors previously formulated the hybrid conjecture, unifying André-Pink-Zannier and André-Oort conjectures, and proved it in Shimura varieties of abelian type. We study its an…
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 t…
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 all…
Homogeneous Dynamics and Unlikely Intersections
R. Richard, A. Yafaev, T. Zamojski
This is a preliminary version of a monograph on homogeneous dynamics and application to some problems of unlikely intersections in Shimura varieties. It consists of four articles,…
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.
Limit distribution of Translated pieces of possibly irrational leaves in S-arithmetic homogeneous spaces
Rodolphe Richard, Thomas Zamojski
The purpose of this article is to describe and characterize the limit distributions of translates of a bounded open "piece of orbit" of a reductive subgroup on a space of S-arithme…