Pontryagin duality for Iwasawa modules and abelian varieties

DOI10.1090/tran/7016zbMath1444.11236arXiv1406.5815OpenAlexW2247072736MaRDI QIDQ4600436

Fabien Trihan, Ignazio Longhi, King-Fai Lai, Ki-Seng Tan

Publication date: 9 January 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5815

zbMATH Keywords

abelian varietyIwasawa theorySelmer groupPontryagin duality

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40) Galois cohomology (11R34)

Related Items (3)

A generalized Iwasawa's theorem and its application ⋮ The Iwasawa main conjecture for semistable abelian varieties over function fields ⋮ On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensions

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