Compatibility of weak approximation for zero-cycles on products of varieties  

作　　者：Yongqi Liang 

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

出　　处：《Science China Mathematics》2023年第4期665-678,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.12071448);Anhui Initiative in Quantum Information Technologies(Grant No.AHY150200)。

摘　　要：The Brauer-Manin obstruction is conjectured to be the only obstruction to weak approximation for zero-cycles on proper smooth varieties defined over number fields.We prove that the conjecture is compatible for products of rationally connected varieties,K3 surfaces,Kummer varieties and one curve.

关 键 词：zero-cycle Brauer-Manin obstruction weak approximation 

分 类 号：O186.5[理学—数学]