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Integrality of the Chern character in small codimension

Research paper by Olivier Haution

Indexed on: 17 Jan '12Published on: 17 Jan '12Published in: Mathematics - Algebraic Geometry



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.