Definable categories and 𝕋-motives
Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 205-224.

Making use of Freyd's free abelian category on a preadditive category we show that if T:D𝒜 is a representation of a quiver D in an abelian category 𝒜 then there is an abelian category 𝒜(T), a faithful exact functor F T :𝒜(T)𝒜 and an induced representation T ˜:D𝒜(T) such that F T T ˜=T universally. We then can show that 𝕋-motives as well as Nori's motives are given by a certain category of functors on definable categories.

Publié le :
DOI : 10.4171/RSMUP/139-8
Classification : 14, 03, 18, 19
Mots clés : Motives, model theory, representations, abelian categories
Barbieri-Viale, Luca 1 ; Prest, Mike 2

1 Università di Milano, Italy
2 University of Manchester, UK
@article{RSMUP_2018__139__205_0,
     author = {Barbieri-Viale, Luca and Prest, Mike},
     title = {Definable categories and $\mathbb T$-motives},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {205--224},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {139},
     year = {2018},
     doi = {10.4171/RSMUP/139-8},
     mrnumber = {3825187},
     zbl = {1395.18012},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/139-8/}
}
TY  - JOUR
AU  - Barbieri-Viale, Luca
AU  - Prest, Mike
TI  - Definable categories and $\mathbb T$-motives
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2018
SP  - 205
EP  - 224
VL  - 139
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/139-8/
DO  - 10.4171/RSMUP/139-8
ID  - RSMUP_2018__139__205_0
ER  - 
%0 Journal Article
%A Barbieri-Viale, Luca
%A Prest, Mike
%T Definable categories and $\mathbb T$-motives
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2018
%P 205-224
%V 139
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/139-8/
%R 10.4171/RSMUP/139-8
%F RSMUP_2018__139__205_0
Barbieri-Viale, Luca; Prest, Mike. Definable categories and $\mathbb T$-motives. Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 205-224. doi : 10.4171/RSMUP/139-8. http://www.numdam.org/articles/10.4171/RSMUP/139-8/

Cité par Sources :