Work

Mixed motives

Year: 2025

Type: article

Abstract: A mixed Weil cohomology with values in an abelian rigid tensor category is a cohomological functor on Voevodsky’s category of motives which is satisfying Künneth formula and such that its restriction to Chow motives is a Weil cohomology. We show that the universal mixed Weil cohomology exists. Nori motives can be recovered as a universal enrichment of Betti cohomology via a localisation. This new picture is drawing some consequences with respect to the theory of mixed motives in arbitrary characteristic.

Source: Indagationes Mathematicae

DOI: 10.1016/j.indag.2025.03.002

Author: Luca Barbieri-Viale

Institution: University of Milan

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,140

Funder: Institut des Hautes Études Scientifiques, Université Paris-Saclay