Levine's motivic comparison theorem revisited

2007/01/22 by Florian Ivorra, Ivorra, Florian
Mathematics · #14F42 #19E15 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT #msc:14F42 #msc:19E15

paper · pdf · doi:10.48550/arxiv.math/0701620

40 pages, submitted

arxiv created 2007/01/22 · openalex publication_date 2007/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a field of characteristic zero, M. Levine has proved that his category of triangulated motives is equivalent to the one constructed by V. Voevodsky. In this paper we show that the strategy of Levine's proof can be applied on every perfect field to the categories of triangulated motives with rational coefficients.

Related

• Voevodsky motives and motives with modulus in positive characteristic
• Comparison of motives with rational coefficients
• The triangulated category of K-motives DK_(k)
• Algebraic cycles and the triangulated category of mixed motives
• Duality Theorem for Motives