2 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.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…