Raising the level at your favorite prime

DOI10.4171/RLM/881zbMath1477.11083arXiv1805.10937OpenAlexW3014128346MaRDI QIDQ2180287

Eduardo Soto, Luis V. Dieulefait

Publication date: 13 May 2020

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10937

zbMATH Keywords

Galois representationslevel-raisingsafe chains

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80)

Uses Software

• LMFDB

Cites Work

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• On the semi-simplicity of the \(U_p\)-operator on modular forms
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• The weight in Serre's conjectures on modular forms
• Modularity of nearly ordinary 2-adic residually dihedral Galois representations
• On modular forms and the inverse Galois problem
• SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
• Level raising mod 2 and arbitrary 2-Selmer ranks
• A multi-Frey approach to Fermat equations of signature $(r,r,p)$

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