The multinorm principle for linearly disjoint Galois extensions

JOURNAL OF NUMBER THEORY

卷:133

Article

Pollio, Timothy P.¹  Rapinchuk, Andrei S.¹ 

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

关键词: Local-global principles;    Norm and multiform principles;   

DOI  :  10.1016/j.jnt.2012.07.014

来源: Elsevier

【 摘 要 】

Text. Let L-1 and L-2 be finite separable extensions of a global field K. and let E-i be the Galois closure of L-i over K for i = 1,2. We establish a local-global principle for the product of norms from L1 and L2 (so-called multinorm principle) provided that the extensions E-1 and E-2 are linearly disjoint over K. Video. For a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=6fwHt_k5dVQ. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free