2018/09/06 by Yuri Shimizu, Shimizu, Yuri
Mathematics · #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
paper · pdf · doi:10.48550/arxiv.1809.01895
arxiv created 2018/09/06 · openalex publication_date 2018/09/06 · arxiv updated 2018/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that a smooth scheme of dimension n over a perfect field is A1-weakly equivalent to a point if it is A1-n-connected. We also prove an excision result for A1-homotopy sheaves over a perfect field.