Arithmetic homology and an integral version of Katos conjecture

Details Arithmetic homology and an integral version of Katos conjecture Arithmetic homology and an integral version of Katos conjecture

2007-04-10

arxiv.org/abs/0704.1192v2

Mathematics

K-Theory and Homology

improved version, to appear in Journal fuer die reine und angewandte Mathematik

Scientific paper

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.

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