Kato's Euler system and the Mazur-Tate refined conjecture of BSD type

DOI10.1353/AJM.2018.0012zbMath1407.11082arXiv1509.00682OpenAlexW2963744838WikidataQ123137008 ScholiaQ123137008MaRDI QIDQ4582815

Kazuto Ota

Publication date: 24 August 2018

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00682

zbMATH Keywords

Mordell-Weil rankStickelberger elementsKato's Euler system

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Galois cohomology (11R34)

Related Items (6)

On the indivisibility of derived Kato's Euler systems and the main conjecture for modular forms ⋮ On the rank-part of the Mazur-Tate refined conjecture for higher weight modular forms ⋮ A refined Beilinson–Bloch conjecture for motives of modular forms ⋮ Experimental evidence on a refined conjecture of the BSD type ⋮ Equivariant Iwasawa theory for elliptic curves ⋮ \(p\)-Selmer group and modular symbols

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