On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes

DOI10.1007/s00222-021-01072-yzbMath1493.11101arXiv2008.02571OpenAlexW3204444905MaRDI QIDQ2073771

Francesc Castella, Giada Grossi, Jae Hoon Lee, Christopher M. Skinner

Publication date: 8 February 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02571

zbMATH Keywords

\(L\)-functionsBirch-Swinnerton-Dyer conjectureanticyclotomic Iwasawa theoryHeegner point main conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Related Items (8)

The Birch and Swinnerton-Dyer Conjecture: A brief survey ⋮ On the soft \(p\)-converse to a theorem of Gross-Zagier and Kolyvagin ⋮ Genus two curves with full \(\sqrt{3}\)-level structure and Tate-Shafarevich groups ⋮ On the Iwasawa invariants of BDP Selmer groups and BDP \(p\)-adic \(L\)-functions ⋮ Algebraic number theory. Abstracts from the workshop held June 25--30, 2023 ⋮ A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer ⋮ \(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves ⋮ A note on rank one quadratic twists of elliptic curves and the non-degeneracy of 𝑝-adic regulators at Eisenstein primes

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