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.
Mixed motives / L. Barbieri-Viale. - In: INDAGATIONES MATHEMATICAE. - ISSN 0019-3577. - (2025), pp. 1-22. [Epub ahead of print] [10.1016/j.indag.2025.03.002]
Mixed motives
L. Barbieri-Viale
2025
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
1-s2.0-S0019357725000217-main.pdf
accesso aperto
Descrizione: online first, corrected proofs
Tipologia:
Publisher's version/PDF
Licenza:
Creative commons
Dimensione
649.25 kB
Formato
Adobe PDF
|
649.25 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
