Weights and conservativity

Jörg Wildeshaus (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

The purpose of this article is to study conservativity in the context of triangulated categories equipped with a weight structure. As application, we establish (weight) conservativity for the restriction of the (generic) l-adic realization to the category of motives of Abelian type of characteristic zero.

Mots clés: weight conservativity; Conservativity; Weight structures; Realizations; relative motives of Abelian type

Domaines: Géométrie algébrique [math.AG]; K-théorie et homologie [math.KT]

Jörg Wildeshaus. Weights and conservativity. Algebraic Geometry, 2018, Algebraic Geometry, 5 ((6) (2018)), pp.686-702. ⟨10.14231/AG-2018-018⟩. ⟨hal-01392806⟩