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 product...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.展开更多
基金supported by National Natural Science Foundation of China(Grant No.12071448)Anhui Initiative in Quantum Information Technologies(Grant No.AHY150200)。
文摘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.
