27 citations · 140 across the 25 of their papers we have counts for
26 papers
Homological periods and higher cycles
L. Barbieri-Viale
For any scheme which is algebraic over a subfield of the complex numbers we here construct an homological regulator from Suslin homology to period homology and a higher cycle class…
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 t…
A universal rigid abelian tensor category
L. Barbieri-Viale, B. Kahn
We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmetric monoidal category in a universal way. This yields a novel approach to Grothe…
Universal cohomology theories
L. Barbieri-Viale
We furnish any category of a universal (co)homology theory. Universal (co)homologies and universal relative (co)homologies are obtained by showing representability of certain funct…
Motivic periods and Grothendieck arithmetic invariants
F. Andreatta, L. Barbieri-Viale, A. Bertapelle
We construct a period regulator for motivic cohomology of an algebraic scheme over a subfield of the complex numbers. For the field of algebraic numbers we formulate a period conje…
Tensor structure for Nori motives
Luca Barbieri-Viale, Annette Huber, Mike Prest
We construct a tensor product on Freyd's universal abelian category attached to an additive tensor category or a tensor quiver and establish a universal property. This is used to g…