Somekawa's K-groups and Voevodsky's Hom groups (preliminary version)

2010/09/23 by Bruno Kahn, Kahn, Bruno
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.KT

paper · pdf · doi:10.48550/arxiv.1009.4554

15 pages

arxiv created 2010/09/23 · openalex publication_date 2010/09/23 · arxiv updated 2010/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a surjective homomorphism from Somekawa's K-group associated to a finite collection of semi-abelian varieties over a perfect field to a corresponding Hom group in Voevodsky's triangulated category of effective motivic complexes.

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