There is no "Weil-"cohomology theory with real coefficients for arithmetic curves
Algebraic Geometry
2023-01-30 v2 K-Theory and Homology
Abstract
A well known argument by Serre shows that there is no Weil cohomology theory with real coefficients for smooth projective varieties over . In this note we explain why no "Weil-"cohomology theory with real coefficients can exist for arithmetic schemes over spec , even for spectra of number rings.
Cite
@article{arxiv.2204.02714,
title = {There is no "Weil-"cohomology theory with real coefficients for arithmetic curves},
author = {Christopher Deninger},
journal= {arXiv preprint arXiv:2204.02714},
year = {2023}
}
Comments
Final version for publication in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze