Details
| Original language | English |
|---|---|
| Article number | 109979 |
| Journal | Advances in mathematics |
| Volume | 458 |
| Early online date | 23 Oct 2024 |
| Publication status | E-pub ahead of print - 23 Oct 2024 |
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.
Keywords
- Algebraic cycles, Gersten conjecture, Motivic cohomology, Unramified cohomology
ASJC Scopus subject areas
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In: Advances in mathematics, Vol. 458, 109979, 12.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Truncated pushforwards and refined unramified cohomology
AU - Alexandrou, Theodosis
AU - Schreieder, Stefan
N1 - Publisher Copyright: © 2024 The Author(s)
PY - 2024/10/23
Y1 - 2024/10/23
N2 - 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.
AB - 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.
KW - Algebraic cycles
KW - Gersten conjecture
KW - Motivic cohomology
KW - Unramified cohomology
UR - http://www.scopus.com/inward/record.url?scp=85207133039&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2024.109979
DO - 10.1016/j.aim.2024.109979
M3 - Article
AN - SCOPUS:85207133039
VL - 458
JO - Advances in mathematics
JF - Advances in mathematics
SN - 0001-8708
M1 - 109979
ER -