Intermediate extension of Chow motives of Abelian type

Jörg Wildeshaus (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

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 application concerns intermediate extensions of Chow motives associated to Kuga families to the Baily--Borel compactification of a Shimura variety.

Mots clés: weight structures; semi-primary categories; Chow motives; motivic intermediate extension; Shimura varieties

Domaines: Géométrie algébrique [math.AG]

Jörg Wildeshaus. Intermediate extension of Chow motives of Abelian type. Advances in Mathematics, 2017, 305, pp.515-600. ⟨10.1016/j.aim.2016.09.032⟩. ⟨hal-00757175⟩