Integrality of the Chern character in small codimension
Algebraic Geometry
2012-08-10 v4 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1103.4084,
title = {Integrality of the Chern character in small codimension},
author = {Olivier Haution},
journal= {arXiv preprint arXiv:1103.4084},
year = {2012}
}
Comments
Correct some typos; add an appendix extending the results to schemes of finite type over a regular base