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

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