3 papers
math.AG2025
Universal Weil cohomology
L. Barbieri-Viale, B. Kahn
We construct a new Weil cohomology for smooth projective varieties over a field, universal among Weil cohomologies with values in rigid additive tensor categories. A similar univer…
math.AG2025
Motives
L. Barbieri-Viale
Making a survey of recent constructions of universal cohomologies we suggest a new framework for a theory of motives in algebraic geometry.
math.AG2025
Mixed Motives
L. Barbieri-Viale
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…