On the motivic homotopy type of algebraic stacks
Abstract
We construct smooth presentations of algebraic stacks that are local epimorphisms in the Morel–Voevodsky A 1 -homotopy category. As a consequence, we show that the motive of a smooth stack (in Voevodsky's triangulated category of motives) has many of the same properties as the motive of a smooth scheme.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Journal of Algebra
- Volume
- 693
- Pages
- 790–804
- Publication date
- 16 January 2026
- Language
- EN