Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 109979 |
| Fachzeitschrift | Advances in mathematics |
| Jahrgang | 458 |
| Frühes Online-Datum | 23 Okt. 2024 |
| Publikationsstatus | Veröffentlicht - Dez. 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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: Advances in mathematics, Jahrgang 458, 109979, 12.2024.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 - 2024/12
Y1 - 2024/12
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 -