Arithmetic homology and an integral version of Katos conjecture

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

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K-Theory and Homology, Algebraic Geometry, 14C25,14C35, 14F42,19E15, 19D45, 19E15, 19F05, 19F15,

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http://salesiana.dossiersoluciones.com/handle/123456789/230007

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.1192
 http://arxiv.org/abs/0704.1192

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arXiv