On the theory of Kolyvagin systems of rank 0

DOI10.5802/JTNB.1189zbMath1497.11139OpenAlexW4210293804MaRDI QIDQ2074006

Ryotaro Sakamoto

Publication date: 3 February 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jtnb.1189

zbMATH Keywords

Selmer groupKolyvagin system

Mathematics Subject Classification ID

Galois representations (11F80) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (2)

Notes on the module of Euler systems for $p$-adic representations ⋮ \(p\)-Selmer group and modular symbols

Cites Work

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• Controlling Selmer groups in the higher core rank case
• Stark systems over Gorenstein local rings
• On Euler systems of rank $r$ and their Kolyvagin systems
• Stickelberger elements and Kolyvagin systems
• -adic Kolyvagin Systems
• Kolyvagin systems of Stark units
• Stark units and the main conjectures for totally real fields
• Kolyvagin systems
• On the Theory of Higher Rank Euler, Kolyvagin and Stark Systems
• The Structure of Selmer Groups of Elliptic Curves and Modular Symbols
• Refined Iwasawa theory and Kolyvagin systems of Gauss sum type

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