Arithmetic homology and an integral version of Katos conjecture
K-Theory and Homology
2009-05-13 v2 Algebraic Geometry
Abstract
We define an integral Borel-Moore homology theory over finite fields, called arithmetic homology, and an integral version of Kato homology. Both types of groups are expected to be finitely generated, and sit in a long exact sequence with higher Chow groups of zero-cycles.
Keywords
Cite
@article{arxiv.0704.1192,
title = {Arithmetic homology and an integral version of Katos conjecture},
author = {Thomas Geisser},
journal= {arXiv preprint arXiv:0704.1192},
year = {2009}
}
Comments
improved version, to appear in Journal fuer die reine und angewandte Mathematik