Finite generation conjectures for cohomology over finite fields
K-Theory and Homology
2011-03-30 v1 Number Theory
Abstract
We construct an intermediate cohmology between motivic cohomology and Weil-etale cohomology. Using this, the Bass conjecture on finite generation of motivic cohomology, and the Beilinson-Tate on the finite generation of Weil-etale cohomology are related.
Keywords
Cite
@article{arxiv.1103.5544,
title = {Finite generation conjectures for cohomology over finite fields},
author = {Thomas H Geisser},
journal= {arXiv preprint arXiv:1103.5544},
year = {2011}
}