The non-existence of certain mod 2 Galois representations of some small quadratic fields

DOI10.3792/pjaa.84.63zbMath1165.11052arXiv0710.1319OpenAlexW2229788259MaRDI QIDQ952014

Hyunsuk Moon, Yuichiro Taguchi

Publication date: 5 November 2008

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1319

zbMATH Keywords

Serre's modularity conjecturemod p Galois representation

Mathematics Subject Classification ID

Galois theory (11R32) Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (2)

Nonexistence of certain Galois representations for quadratic fields ⋮ The nonexistence of certain representations of the absolute Galois group of quadratic fields

Cites Work

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• On Serre's conjecture for mod \(\ell \) Galois representations over totally real fields
• Weights in Serre's conjecture for Hilbert modular forms: the ramified case
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• The nonexistence of certain Galois extensions unramified outside 5
• Refinement of Tate's discriminant bound and non-existence theorems for mod \(p\) Galois representations
• Finiteness results on certain mod \(p\) Galois representations
• On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic Fields
• 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS
• THE NONEXISTENCE OF CERTAIN NONSOLVABLE GALOIS EXTENSIONS OF NUMBER FIELDS OF SMALL DEGREE

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