Tamagawa defect of Euler systems

DOI10.1016/j.jnt.2008.07.003zbMath1228.11164arXiv0710.3858OpenAlexW2003499175MaRDI QIDQ999718

Kâzım Büyükboduk

Publication date: 10 February 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3858

zbMATH Keywords

Euler systemsTamagawa numbersKolyvagin systems

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (1)

On the indivisibility of derived Kato's Euler systems and the main conjecture for modular forms

Cites Work

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• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Systèmes d'Euler \(p\)-adiques et théorie d'Iwasawa. (\(p\)-adic Euler systems and Iwasawa theory.)
• Iwasawa theory of de Rham representations of a local field
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Modular elliptic curves and Fermat's Last Theorem
• Euler systems and exact formulas in number theory
• Euler systems, Iwasawa theory, and Selmer groups
• -adic Kolyvagin Systems
• Global divisibility of Heegner points and Tamagawa numbers
• Kolyvagin systems

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