Let be a number field. For a variety over that satisfies weak approximation with Brauer–Manin obstruction, we study the same property for smooth projective models of its symmetric products. Based on the same method, we also explore the property of weak approximation with Brauer–Manin obstruction for norm varieties.

中文翻译：

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对称乘积和范数簇的弱近似

让是一个数字字段。对于各种超过满足布劳尔-马宁阻塞的弱近似，我们研究了其对称乘积的平滑射影模型的相同性质。基于同样的方法，我们还探讨了范数簇的Brauer-Manin阻塞的弱逼近性质。