3 papers
math.NT2026
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…
math.NT2025
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-$…
math.NT2024
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…