2011/03/31 by Olivier Haution
Mathematics · #Algebraic Geometry and Number Theory #Algebraic number #Algebraic structures and combinatorial models #Character (mathematics) #Chern class #Codimension #Combinatorics #Geometry #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Modulo #Prime (order theory) #Pure mathematics #Torsion (gastropod) #math.AG #math.KT #msc:14C15 #msc:14C40
paper · pdf · doi:10.1016/j.aim.2012.04.030
published as Adv. Math. 231 (2):855--878, 2012 · Correct some typos; add an appendix extending the results to schemes of finite type over a regular base
arxiv created 2012/01/17 · openalex publication_date 2012/06/30 · arxiv updated 2012/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove an integrality property of the Chern character with values in Chow groups. As a consequence, we obtain a construction of the p−1 first homological Steenrod operations on Chow groups modulo p and p-primary torsion, over an arbitrary field. We provide applications to the study of correspondences between algebraic varieties.