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

Compatibility of weak approximation for zero-cycles on products of varieties
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品种产品零循环弱近似的兼容性

DOI:
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发表时间:
2020
期刊:
Science China Mathematics
影响因子:
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通讯作者:
Yongqi Liang
Yongqi Liang
中科院分区:
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文献类型:
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作者:
Yongqi Liang

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Brauer-Manin障碍被认为是定义在数域上的真光滑变元上零圈弱逼近的唯一障碍。我们证明了这个猜想对有理连通族、K3曲面、Kummer族和一条曲线的乘积是相容的。
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.
DOI: 10.1093/imrn/rny303
发表时间: 2021
影响因子: 1
作者:
Balestrieri F
通讯作者: Balestrieri F