Main Conjectures for CM Fields and a Yager-Type Theorem for Rubin–Stark Elements

DOI10.1093/IMRN/RNT140zbMath1372.11101arXiv1303.1404OpenAlexW3103313307WikidataQ123264846 ScholiaQ123264846MaRDI QIDQ2931008

Kâzım Büyükboduk

Publication date: 21 November 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1404

zbMATH Keywords

Euler system\(p\)-adic \(L\)-functionsmain conjectureCM abelian varietiesKolyvagin systemRubin-Stark elements

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items (11)

Deformations of Kolyvagin systems ⋮ Coleman-adapted Rubin–Stark Kolyvagin systems and supersingular Iwasawa theory of CM abelian varieties ⋮ On the Iwasawa theory of CM fields for supersingular primes ⋮ On 𝑝-adic families of special elements for rank-one motives ⋮ Main conjectures for higher rank nearly ordinary families. I ⋮ Stark systems over Gorenstein local rings ⋮ Integral Iwasawa theory of Galois representations for non-ordinary primes ⋮ Anticyclotomic \(p\)-ordinary Iwasawa theory of elliptic modular forms ⋮ Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and a conjecture of Perrin-riou ⋮ Iwasawa theory for \(\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\) ⋮ Théorie d’Iwasawa des unités de Stark et groupe de classes

This page was built for publication: Main Conjectures for CM Fields and a Yager-Type Theorem for Rubin–Stark Elements