Arithmetic homology and an integral version of Kato's conjecture

作者：Geisser Thomas^*

来源：Journal fur die Reine und Angewandte Mathematik, 2010, 644: 1-22.

DOI：10.1515/CRELLE.2010.050

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.

• 出版日期2010-7