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Intermediate extension of Chow motives of Abelian type
In this article, we give an unconditional construction of a motivic analogue of the intermediate extension in the context of Chow motives of Abelian type. Our main... -
The Newton stratification of Shimura varieties and the Arthur-Selberg trace f...
We study the Newton stratification of Shimura varieties of PEL type, at the places of good reduction. We consider the basic stratum of certain simple Shimura varieties... -
The André-Pink conjecture : Hecke orbits and weakly special subvarieties
The André-Pink conjecture predicts that a subvariety of a Shimura variety which has dense intersection with a Hecke orbit is weakly special. We prove this conjecture...
