On modularity of rigid and nonrigid Calabi-Yau varieties associated to the Root Lattice A4

DOI10.1017/S0027763000025617zbMath1208.11063arXivmath/0304169OpenAlexW1591395793MaRDI QIDQ3374118

Helena A. Verrill, Klaus Hulek

Publication date: 9 March 2006

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304169

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Modular correspondences, etc. (11F32) Relations with algebraic geometry and topology (11F23)

Related Items (13)

Correspondences between modular Calabi-Yau fiber products ⋮ Unnamed Item ⋮ Modularity of Calabi–Yau Varieties: 2011 and Beyond ⋮ A one parameter family of Calabi-Yau manifolds with attractor points of rank two ⋮ Symmetries of Calabi-Yau prepotentials with isomorphic flops ⋮ Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives ⋮ The Root Lattice $$A_{2}$$ in the Construction of Substitution Tilings and Singular Hypersurfaces ⋮ Modularity of Calabi-Yau varieties and conformal field theory ⋮ Rank-2 attractors and Deligne's conjecture ⋮ Rigid realizations of modular forms in Calabi-Yau threefolds ⋮ Modularity of some non-rigid double octic Calabi-Yau threefolds ⋮ Analytic structure of all loop banana integrals ⋮ Classification of double octic Calabi–Yau threefolds with h1,2 ≤ 1 defined by an arrangement of eight planes

Uses Software

• Magma

Cites Work

• On fiber products of rational elliptic surfaces with section
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• The Magma algebra system. I: The user language
• Double solids
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• Root lattices and pencils of varieties
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Flops
• The Geometry of Schemes
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• ARITHMETIC ON A QUINTIC THREEFOLD
• Geometry and Arithmetic of Certain Double Octic Calabi–Yau Manifolds
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