Making use of Freyd’s free abelian category on a preadditive category we show that if T:D → A 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^:D → A(T) such that F_TT^ = 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.
Definable categories and T-motives / L. Barbieri-Viale, M. Prest. - In: RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA. - ISSN 0041-8994. - 139:(2018), pp. 205-224. [10.4171/RSMUP/139-8]
Definable categories and T-motives
L. Barbieri-Viale
;
2018
Abstract
Making use of Freyd’s free abelian category on a preadditive category we show that if T:D → A 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^:D → A(T) such that F_TT^ = 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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
RSMUP-2018-139-000-08.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
264.19 kB
Formato
Adobe PDF
|
264.19 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
