Constructible $1$-Motives and Exactness of Realisation Functors
Copyright policy )Constructible $1$-Motives and Exactness of Realisation Functors
The triangulated category of cohomological 1 -motives with rational coefficients over a base scheme admits a motivic t-structure. We prove that this t-structure restricts to the subcategory of compact objects, and that pullbacks along arbitrary morphisms, as well as Betti and étale realisation functors, are t-exact relative to this t-structure. These exactness properties follow from a structural result: compact objects in the heart behave like a constructible sheaf of Deligne 1 -motives.
- Freie Universität Berlin Germany
Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), motivic t-structure, Deligne \(1\)-motives, (Equivariant) Chow groups and rings; motives, Voevodsky motives
Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), motivic t-structure, Deligne \(1\)-motives, (Equivariant) Chow groups and rings; motives, Voevodsky motives
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