Integrality of the Chern character in small codimension

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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