The Weil-Etale Topology for Number Rings
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We would like to construct a new Grothendieck topology for arithmetic schemes, whose cohomology groups associated with motivic complexes of sheaves are finitely generated and whose Euler characteristics are related to special values of zeta-functions. In this paper we construct this topology for rings of algebraic integers and show that the cohomology of the constant sheaf Z is related to the behavior of zeta-functions at s = 0.
Keywords
Cite
@article{arxiv.math/0503604,
title = {The Weil-Etale Topology for Number Rings},
author = {Stephen Lichtenbaum},
journal= {arXiv preprint arXiv:math/0503604},
year = {2007}
}
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31 pages