Growth of Selmer Groups of CM Abelian Varieties

DOI10.4153/CJM-2014-041-1zbMath1394.11052OpenAlexW2312750107MaRDI QIDQ5252700

V. Kumar Murty, Meng Fai Lim

Publication date: 2 June 2015

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2014-041-1

zbMATH Keywords

Selmer group\(\mathbb{Z}_p\)-extensionabelian variety with complex multiplication\(p\)-Hilbert class tower

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (6)

The growth of fine Selmer groups ⋮ Control theorems for fine Selmer groups ⋮ The vanishing of Iwasawa's \(\mu\)-invariant implies the weak Leopoldt conjecture ⋮ On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions ⋮ Growth of Selmer groups and fine Selmer groups in uniform pro-\(p\) extensions ⋮ Growth of Fine Selmer Groups in Infinite Towers

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