Integrality of the Chern character in small codimension

Abstract

We prove an integrality property of the Chern character with values in Chow groups. As a consequence we obtain, for a prime number p, 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.

Correct some typos; add an appendix extending the results to schemes of finite type over a regular base

References in corpus (6)

• On the first Steenrod square for Chow groups
• Degree formula for connective K-theory
• Duality and the topological filtration
• A New Definition of the Steenrod Operations in Algebraic Geometry
• Reduced Steenrod operations and resolution of singularities
• Degree formula for the Euler characteristic

Cited by in corpus (7)

• Fixed point theorems involving numerical invariants
• Detection by regular schemes in degree two
• Morava K-theory of twisted flag varieties
• Involutions of varieties and Rost's degree formula
• Degree formula for the Euler characteristic
• Rational morphisms between quasilinear hypersurfaces
• Motivic Steenrod operations in characteristic $p$