Abstract
For a field of characteristic zero Levine has proved in [M. Levine, Mixed motives, Math. Surv. Monogr. 57, American Mathematical Society, 1998.], Part I, Ch. VI, 2.5.5, that the triangulated tensor categories of motives defined in [V. Voevodsky, Triangulated categories of motives over a field, Cycles, transfers, and motivic homology theories, Ann. Math. Stud. 143, Princeton University Press, Princeton, NJ, 2000.] and [M. Levine, Mixed motives, Math. Surv. Monogr. 57, American Mathematical Society, 1998.] are equivalent. Using some results of [F. Ivorra, Réalisation ℓ-adique des motifs triangulés géométriques I, Preprint K-theory/0762, January 2006.], in this paper we show that the strategy of Levine's proof can also be applied on every perfect field to the categories of triangulated motives with rational coefficients or to the pseudo-abelian hulls of the integral tensor subcategories generated by motives of smooth projective schemes.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
