The modularity of certain non-rigid Calabi-Yau threefolds

DOI10.1215/kjm/1250281650zbMath1106.14025arXivmath/0304497OpenAlexW1789978830MaRDI QIDQ2494631

Noriko Yui, Ron A. Livné

Publication date: 14 July 2006

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304497

zbMATH Keywords

\(L\)-functionsmodular formsCalabi-Yau threefolds\(K3\) surfacesGalois representations

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20)

Related Items (7)

Correspondences between modular Calabi-Yau fiber products ⋮ Unnamed Item ⋮ Elliptic curves with torsion groups \(\mathbb{Z}/8\mathbb{Z}\) and \(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/6\mathbb{Z}\) ⋮ Elliptic fibrations of some extremal \(K3\) surfaces ⋮ Explicit equations of some elliptic modular surfaces ⋮ On modularity of rigid and nonrigid Calabi-Yau varieties associated to the Root Lattice A₄ ⋮ Modularity of some non-rigid double octic Calabi-Yau threefolds

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