2021/01/13 by Junnosuke Koizumi, Koizumi, Junnosuke
Mathematics · #14F42 (Primary) 14E99 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.AT #math.KT #msc:14E99 #msc:14F42
paper · pdf · doi:10.48550/arxiv.2101.04951
9 pages
openalex publication_date 2021/01/13 · arxiv created 2022/05/25 · arxiv updated 2022/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an explicit formula for the zeroth \mathbbA1-homology sheaf of a smooth proper variety. We also provide a simple proof of a theorem of Kahn-Sujatha which describes hom sets in the birational localization of the category of smooth varieties.