On a Family of K3 Surfaces with $$\mathcal{S}_{4}$$ Symmetry

DOI10.1007/978-1-4614-6403-7_12zbMath1302.14029arXiv1103.1892OpenAlexW1850098637MaRDI QIDQ2926121

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Publication date: 30 October 2014

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1892

zbMATH Keywords

Picard-Fuchs equations\(K3\) surfacesreflexive polytopesGriffiths-Dwork techniqueMirror Moonshine

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Modular and Shimura varieties (14G35) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Moduli, classification: analytic theory; relations with modular forms (14J15) Mirror symmetry (algebro-geometric aspects) (14J33) Arithmetic mirror symmetry (11G42)

Related Items (3)

Reflexive Polytopes and Lattice-Polarized K3 Surfaces ⋮ Strong arithmetic mirror symmetry and toric isogenies ⋮ Classifications of Elliptic Fibrations of a Singular K3 Surface

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