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arXiv 1912.02420math.AGmath.KTmath.NT
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Selmer群与类群的整除性

Divisibility of Selmer groups and class groups

Kalyan Banerjee, Kalyan Chakraborty, Azizul Hoque

摘要:

在本文中,我们研究了两个主题。一个是二次数域类群的整除性问题及其与代数几何的联系。另一个是定义在数域上的阿贝尔簇的Selmer群和Tate-Shafarevich群的构造。

英文摘要:

In this paper, we study two topics. One is the divisibility problem of class groups of quadratic number fields and its connections to algebraic geometry. The other is the construction of Selmer group and Tate-Shafarevich group for an abelian variety defined over a number field.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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