The 3-rd unramified cohomology for norm one torus

被引：0

作者：

Long, Hanqing ^{[1
]}

Wei, Dasheng ^{[2
,3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

[3] Univ CAS, Sch Math Sci, Beijing 100049, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2024年 / 257卷

基金：

中国国家自然科学基金; 国家重点研发计划;

关键词：

Unramified cohomology; Algebraic tori;

D O I：

10.1016/j.jnt.2023.10.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an algebraic torus S, Blinstein and Merkurjev have given an estimate of 3-rd unramified cohomology (H) over bar (3)(nr)(F(S), Q/Z(2)) obtained from a flasque resolution of S. Based on their work, for the norm one torus W = R(K/F)((1))G(m) with K/F abelian, we compute the 3-rd unramified cohomology (H) over bar (3)(nr)(F(W), Q/Z(2)). (c) 2023 Elsevier Inc. All rights reserved.

引用

页码：186 / 201

页数：16

共 50 条

[31] SPECTROPHOTOMETRIC DETERMINATION OF THE 3-RD GROUP ELEMENTS .2. DETERMINATION OF GALLIUM WITH HEMATOXYLINE
SARGHIE, I
SIRGHIE, E
REVISTA DE CHIMIE, 1985, 36 (03): : 247 - 251
[32] ELECTRON-STRUCTURE OF NEGATIVE-IONS OF 3-RD SERIES TRANSIENT METAL HEXAFLUORIDE
GUTSEV, GL
BOLDYREV, AI
KOORDINATSIONNAYA KHIMIYA, 1984, 10 (11): : 1455 - 1459
[33] SPECTROPHOTOMETRIC DETERMINATION OF THE 3-RD GROUP ELEMENTS .1. DETERMINATION OF ALUMINUM WITH HEMATOXILINE
SARGHIE, I
SIRGHIE, E
REVISTA DE CHIMIE, 1984, 35 (06): : 535 - 538
[34] Unramified cohomology of degree 3: cellular varieties and del Pezzo surfaces of at least 5 degree
Cao, Yang
ANNALS OF K-THEORY, 2018, 3 (01) : 157 - 171
[35] On the Second Cohomology of the Norm One Group of a p-Adic Division Algebra
Ershov, Mikhail
MICHIGAN MATHEMATICAL JOURNAL, 2022, 72 : 261 - 330
[36] Promising Method of IC Operation Speed Testing at the Production based on 3-rd Harmonic Measurement
Aulas, A.
Vadoklis, R.
Dangelas, V.
Kiseliov, A.
Chusnutdinov, M.
Mazurkevic, I.
ELEKTRONIKA IR ELEKTROTECHNIKA, 2009, (06) : 106 - 108
[37] 3-RD ALL-UNION-CONFERENCE ON CHEMISTRY AND BIOCHEMISTRY OF MACROCYCLIC-COMPOUNDS
SHEININ, VB
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII KHIMIYA I KHIMICHESKAYA TEKHNOLOGIYA, 1989, 32 (01): : 126 - 128
[38] Molecular interpretation of 3-RD order Raman spectra in liquids: A case study.
Stratt, RM
Ma, A
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2004, 227 : U253 - U253
[39] The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology
McMullen, CT
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2002, 35 (02): : 153 - 171
[40] ISOLATION OF 3-RD COMPONENT OF STELLINE-PROTAMINE FROM ACIPENSER-STELLATUS GONADS
RYBIN, VK
REVINA, LP
BARATOVA, LA
MAKAROV, NV
KHIMIYA PRIRODNYKH SOEDINENII, 1991, (04): : 590 - 590

← 1 2 3 4 5 →