On the intersection motive of certain Shimura varieties: the case of Siegel threefolds

Jörg Wildeshaus (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

In this article, we construct a Hecke-equivariant Chow motive whose realizations equal intersection cohomology of Siegel threefolds with regular algebraic coefficients. As a consequence, we are able to define Grothendieck motives for Siegel modular forms.

Mots clés: Siegel threefolds; weight structures; intersection motive; motives for Siegel modular form

Domaines: Géométrie algébrique [math.AG]

Jörg Wildeshaus. On the intersection motive of certain Shimura varieties: the case of Siegel threefolds. Annals of K-Theory, 2020, 4 (4), pp.525-559. ⟨10.2140/akt.2019.4-4⟩. ⟨hal-01545531⟩