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Arbitrary potential modularity for elliptic curves over totally real number fields

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Publication:651801
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DOI10.7169/facm/1323705817zbMath1277.11046OpenAlexW1965218351MaRDI QIDQ651801

Cristian Virdol

Publication date: 19 December 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1323705817


zbMATH Keywords

elliptic curvespotential modularity


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Totally real fields (11R80)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Transcendental \(\ell\)-adic Galois representations
  • On Galois representations associated to Hilbert modular forms
  • Nearly ordinary deformations of irreducible residual representations
  • Modular elliptic curves and Fermat's Last Theorem
  • On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
  • REMARKS ON A CONJECTURE OF FONTAINE AND MAZUR
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