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arXiv · 2406.07092

Truncated pushforwards and refined unramified cohomology

Theodosis Alexandrou·Stefan Schreieder
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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.

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Theodosis Alexandrou, Stefan Schreieder. 2024-06-11. Truncated pushforwards and refined unramified cohomology. https://arxiv.org/abs/2406.07092

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