The growth of Selmer ranks of an abelian variety with complex multiplication

DOI10.4310/PAMQ.2006.v2.n2.a7zbMath1140.11032OpenAlexW2326759157MaRDI QIDQ851478

V. Kumar Murty, Yi Ouyang

Publication date: 21 November 2006

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2006.v2.n2.a7

zbMATH Keywords

abelian varietyclass field towerelliptic curveSelmer group\(\mathbb{Z}_p\) extension

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22)

Related Items (3)

The growth of fine Selmer groups ⋮ Growth of Fine Selmer Groups in Infinite Towers ⋮ THE GROWTH OF THE SELMER GROUP OF AN ELLIPTIC CURVE WITH SPLIT MULTIPLICATIVE REDUCTION

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