We prove the equivalence between the category RigDMéteff(K,Q) of effective motives of rigid analytic varieties over a perfect complete non-archimedean field K and the category RigDAFrobéteff(K,Q) which is obtained by localizing the category of motives without transfers RigDAéteff(K,Q) over purely inseparable maps. In particular, we obtain an equivalence between RigDMéteff(K,Q) and RigDAéteff(K,Q) in the characteristic 0 case and an equivalence between DMéteff(K,Q) and DAFrobéteff(K,Q) of motives of algebraic varieties over a perfect field K. We also show a relative and a stable version of the main statement.
Effective motives with and without transfers in characteristic p / A. Vezzani. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 306(2017 Jan), pp. 852-879. [10.1016/j.aim.2016.11.004]
Effective motives with and without transfers in characteristic p
A. Vezzani
2017
Abstract
We prove the equivalence between the category RigDMéteff(K,Q) of effective motives of rigid analytic varieties over a perfect complete non-archimedean field K and the category RigDAFrobéteff(K,Q) which is obtained by localizing the category of motives without transfers RigDAéteff(K,Q) over purely inseparable maps. In particular, we obtain an equivalence between RigDMéteff(K,Q) and RigDAéteff(K,Q) in the characteristic 0 case and an equivalence between DMéteff(K,Q) and DAFrobéteff(K,Q) of motives of algebraic varieties over a perfect field K. We also show a relative and a stable version of the main statement.File | Dimensione | Formato | |
---|---|---|---|
DADM_final_arxiv.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
334.11 kB
Formato
Adobe PDF
|
334.11 kB | Adobe PDF | Visualizza/Apri |
1-s2.0-S0001870816315122-main.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
525.85 kB
Formato
Adobe PDF
|
525.85 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.