Supersingular elliptic curves over \(\mathbb{Z}_p\)-extensions

DOI10.1515/crelle-2023-0029MaRDI QIDQ6112403

Mirela Ciperiani

Publication date: 7 August 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesanticyclotomic extensionsHeegner pointssupersingular primes

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Cites Work

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• Solvable points on genus one curves
• Local units, elliptic units, Heegner points and elliptic curves
• On universal \(\Gamma\)-norms of formal groups over a local field
• Iwasawa theory for elliptic curves at supersingular primes
• Mazur's conjecture on higher Heegner points.
• Special values of anticyclotomic \(L\)-functions.
• Modular elliptic curves and Fermat's Last Theorem
• Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)
• Rubin's conjecture on local units in the anticyclotomic tower at inert primes
• Galois properties of points of finite order of elliptic curves
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields
• Tate–Shafarevich groups in anticyclotomic ℤ_p-extensions at supersingular primes
• Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)

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