2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230007We 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.improved version, to appear in Journal fuer die reine und angewandte MathematikK-Theory and HomologyAlgebraic Geometry14C25,14C35, 14F42,19E15, 19D45, 19E15, 19F05, 19F15,text