本刊英文版2023年66卷第4期(665–886)摘要

摘要

Compatibility of weak approximation for zero-cycles on products of varieties Yongqi Liang Abstract 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。