3 papers
math.AG2024
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.AG2024
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.AG2018
Tensor product of motives via Künneth formula
L. Barbieri-Viale, M. Prest
Following Nori's original idea we here provide certain motivic categories with a canonical tensor structure. These motivic categories are associated to a cohomological functor on a…