Non-invariance of Weak Approximation with Brauer-Manin Obstruction  

作　　者：Han Wu 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China Hefei 230026,China

出　　处：《Algebra Colloquium》2024年第4期595-608,共14页代数集刊（英文版）

基　　金：NSFC(Grant Nos.12071448,12301014).

摘　　要：We study weak approximation with Brauer-Manin obstruction with respect to extensions of number fields.For any nontrivial extension L/K,assuming a conjecture of M.Stoll,we prove that there exists a K-threefold satisfying weak approximation with Brauer-Manin obstruction off all archimedean places,while its base change to L fails.Then we illustrate this construction with an explicit unconditional example.

关 键 词：rational points weak approximation Brauer-Manin obstruction Chatelet surfaces Chatelet surface bundles over curves 

分 类 号：O17[理学—数学]