The algebraic functional equation of Selmer groups for CM fields
The algebraic functional equation of Selmer groups for CM fields
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CM 场的 Selmer 群代数函数方程
DOI：
10.1016/j.jnt.2010.02.003
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发表时间：
2010
影响因子：
0.7
通讯作者：
Ming
中科院分区：
文献类型：
--
作者：
Ming
由于CM域的Katz p-adic L-函数的解析函数方程成立，CM域的塞尔默群的代数函数方程也成立.本文根据T. Ochiai（2005）in [Och05].
Because the analytic functional equation holds for Katz p-adic L-function for CM fields, the algebraic functional equation of the Selmer groups for CM fields is expected to hold. In this note we prove it following the specialization principle developed by T. Ochiai (2005) in [Och05].