On the algebraic functional equation for the mixed signed Selmer group over multiple $mathbb {Z}_{p}$-extensions

On the algebraic functional equation for the mixed signed Selmer group over multiple $mathbb {Z}_{p}$-extensions
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关于多个 $mathbb {Z}_{p}$-扩展上混合符号 Selmer 群的代数函数方程

DOI:
10.1090/proc/15525
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发表时间:
2021
影响因子:
1
通讯作者:
Meng Fai Lim
Meng Fai Lim
中科院分区:
数学3区
文献类型:
--
作者:
Suman Ahmed;Meng Fai Lim

文献摘要

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设定义在数域上的一条椭圆曲线,在一个固定的奇素数以上的所有素数处都有良好的约化,其中至少有一个素数是的超奇异素数。本文建立了多重扩张上的混合符号塞尔默群的代数函数方程。引用
Letbe an elliptic curve defined over a number field with good reduction at all primes above a fixed odd prime, where at least one of which is a supersingular prime of. In this paper, we will establish the algebraic functional equation for the mixed signed Selmer groups ofover a multiple-extension. References