On non-abelian higher special elements of p-adic representations

被引：0
作者：
Daniel Macias Castillo
Kwok-Wing Tsoi
机构：
[1] Universidad Autónoma de Madrid and Instituto de Ciencias Matemáticas,Departamento de Matemáticas
[2] National Taiwan University,Department of Mathematics
来源：
Israel Journal of Mathematics | 2022年 / 248卷
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摘要：
We develop a theory of ‘non-abelian higher special elements’ in the non-commutative exterior powers of the Galois cohomology of p-adic representations. We explore their relation to the theory of organising matrices and thus to the Galois module structure of Selmer modules. In concrete applications, we relate our general theory to the formulation of refined conjectures of Birch and Swinnerton-Dyer type and to the Galois structure of Tate–Shafarevich and Selmer groups of abelian varieties.
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页码：95 / 147
页数：52
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