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Integrality of the Chern character in small codimension

By Olivier Haution

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.Comment: Correct some typos; add an appendix extending the results to schemes of finite type over a regular bas

Topics: Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, 14C40, 14C15
Year: 2012
DOI identifier: 10.1016/j.aim.2012.04.030
OAI identifier: oai:arXiv.org:1103.4084
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