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# Weil-\'etale cohomology and zeta-values of arithmetic schemes at negative integers

@inproceedings{Beshenov2021WeiletaleCA,
title={Weil-\'etale cohomology and zeta-values of arithmetic schemes at negative integers},
author={Alexey Beshenov},
year={2021}
}
Following the ideas of Flach and Morin [11], we state a conjecture in terms of Weil-étale cohomology for the vanishing order and special value of the zeta function ζ(X, s) at s = n < 0, where X is a separated scheme of finite type over SpecZ. We prove that the conjecture is compatible with closed-open decompositions of schemes and with affine bundles, and consequently, that it holds for cellular schemes over certain one-dimensional bases. This is a continuation of [2], which gives a…
1 Citations

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