A note on the Brauer group and the Brauer-Manin set of a product

A note on the Brauer group and the Brauer-Manin set of a product
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关于 Brauer 组和 Brauer-Manin 产品组的注释

DOI:
10.1112/blms.12373
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发表时间:
2020
影响因子:
0.9
通讯作者:
Lv Chang
Lv Chang
中科院分区:
数学3区
文献类型:
--
作者:
Lv Chang

文献摘要

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通过放宽簇是投射的条件,推广了Skorobogatov和Zarhin关于Brauer群(和Brauer-Manin集)的交换性的结果.
We generalize the results of Skorobogatov and Zarhin considering the commutativity of Brauer groups (and Brauer–Manin sets) with taking product of two varieties, by relaxing the condition that varieties are projective.