32 citations · 67 across the 17 of their papers we have counts for
21 papers
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…
A Common Generalisation of the André-Oort and André-Pink-Zannier Conjectures
Rodolphe Richard, Andrei Yafaev
We introduce a ``hybrid'' conjecture which is a common generalisation of the André-Oort conjecture and the André-Pink-Zannier conjecture and we prove that it is a consequence of th…
Bi--structures on Hermitian symmetric spaces and quadratic relations between CM periods
Ziyang Gao, Emmanuel Ullmo, Andrei Yafaev
In this paper, we introduce the notion of a bi--structure on the tangent space at a CM point on a locally Hermitian symmetric domain. We prove that this bi-$…
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 this…
Height functions on Hecke orbits and the generalised André-Pink-Zannier conjecture
Rodolphe Richard, Andrei Yafaev
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…