Modularity of the Consani-Scholten quintic. With an appendix by José Burgos Gil and Ariel Pacetti

zbMath1337.11029arXiv1005.4523MaRDI QIDQ1946057

Matthias Schütt, Ariel Pacetti, Luis V. Dieulefait

Publication date: 17 April 2013

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4523

zbMATH Keywords

Hilbert modular formSturm boundConsani-Scholten quinticFaltings-Serre-Livné method

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (5)

Modularity of Calabi–Yau Varieties: 2011 and Beyond ⋮ On the effective version of Serre's open image theorem ⋮ Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields ⋮ The Root Lattice $$A_{2}$$ in the Construction of Substitution Tilings and Singular Hypersurfaces ⋮ Hilbert modularity of some double octic Calabi-Yau threefolds

Uses Software

• PARI/GP

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