2010/06/30 by Olivier Haution · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Class (philosophy) #Field (mathematics) #Gravitational singularity #Homogeneous #Homotopy and Cohomology in Algebraic Topology #Modulo #Prime (order theory) #Resolution (logic) #Resolution of singularities #math.AG #math.KT #msc:14C40
paper · pdf · doi:10.1017/is011006030jkt162
published as J. K-Theory 9 (2):269--290, 2012 · Final version, to appear in J. K-theory
arxiv created 2011/06/29 · openalex publication_date 2011/07/07 · arxiv updated 2012/08/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract We give a new construction of a weak form of Steenrod operations for Chow groups modulo a prime number p for a certain class of varieties. This class contains projective homogeneous varieties which are either split or considered over a field admitting some form of resolution of singularities, for example any field of characteristic not p . These reduced Steenrod operations are sufficient for some applications to the theory of quadratic forms.