Chow Künneth decomposition for étale motives

2024/02/29 by Ivan Rosas-Soto, Rosas-Soto, Ivan · 1 citation
Mathematics · #14C25 #14F20 #19E15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2403.00159

openalex publication_date 2024/02/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present article we define an integral analogue of Chow-Künneth decomposition for étale motives. By using families of conservative functors we are able to establish a decomposition of the étale motive of commutative group schemes over a base and we relate to an integral étale Chow-Künneth decomposition of abelian varieties. For a projective variety X of dimension d over an algebraically closed field, we construct integral sub-motives h¹_ét(X) and h^2d-1_ét(X) of the motive h_ét(X).

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