Truncated pushforwards and refined unramified cohomology
Algebraic Geometry
2024-10-14 v2
Abstract
For a large class of cohomology theories, we prove that refined unramified cohomology is canonically isomorphic to the hypercohomology of a natural truncated complex of Zariski sheaves. This generalizes a classical result of Bloch and Ogus and solves a conjecture of Kok and Zhou.
Cite
@article{arxiv.2406.07092,
title = {Truncated pushforwards and refined unramified cohomology},
author = {Theodosis Alexandrou and Stefan Schreieder},
journal= {arXiv preprint arXiv:2406.07092},
year = {2024}
}
Comments
21 pages, final version, to appear in Advances in Mathematics, updated some references and added Corollaries 1.4, 5.1, and 5.2