On the Modularity of Three Calabi–Yau Threefolds With Bad Reduction at 11

DOI10.4153/CMB-2006-031-9zbMath1115.14032arXivmath/0405450OpenAlexW2142337052MaRDI QIDQ3427587

Matthias Schütt

Publication date: 20 March 2007

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405450

zbMATH Keywords

modular elliptic curvemodular (new) forms of weight 4twisted self-fiber product

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Holomorphic modular forms of integral weight (11F11) Relations with algebraic geometry and topology (11F23) Integral representations of infinite groups (20C12)

Related Items (11)

The Langlands program and string modular \(K3\) surfaces ⋮ Computing systems of Hecke eigenvalues associated to Hilbert modular forms ⋮ Correspondences between modular Calabi-Yau fiber products ⋮ Modularity of Calabi–Yau Varieties: 2011 and Beyond ⋮ New realizations of modular forms in Calabi-Yau threefolds arising from \(\phi^{4}\) theory ⋮ Non-liftable Calabi-Yau spaces ⋮ Proving modularity for a given elliptic curve over an imaginary quadratic field ⋮ On the paramodularity of typical abelian surfaces ⋮ Arithmetic Aspects of Bianchi Groups ⋮ Counting points on double octic Calabi–Yau threefolds over finite fields ⋮ On an elliptic curve defined over $\mathbb {Q}(\sqrt {-23})$

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