The Structure of Selmer Groups of Elliptic Curves and Modular Symbols

DOI10.1007/978-3-642-55245-8_11zbMath1361.11039arXiv1407.2465OpenAlexW1641893441MaRDI QIDQ5261383

Masato Kurihara

Publication date: 3 July 2015

Published in: Contributions in Mathematical and Computational Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2465

zbMATH Keywords

modular symbolsSelmer groupsKolyvagin systems\(p\)-adic height pairin

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Heights (11G50)

Related Items (6)

Stark systems and equivariant main conjectures ⋮ On the indivisibility of derived Kato's Euler systems and the main conjecture for modular forms ⋮ Remarks on Kato's Euler systems for elliptic curves with additive reduction ⋮ Equivariant Iwasawa theory for elliptic curves ⋮ On the theory of Kolyvagin systems of rank 0 ⋮ \(p\)-Selmer group and modular symbols

Uses Software

• ecdata

Cites Work

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