Mirror symmetry for \(K3\) surfaces

DOI10.1007/s10711-020-00548-0zbMath1468.14072arXiv1901.09373OpenAlexW3039044862MaRDI QIDQ2025644

Nathan Priddis, C. J. Bott, Paola Comparin

Publication date: 14 May 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09373

zbMATH Keywords

mirror symmetry\(K3\) surfacesBerglund-Hübsch-Krawitz constructionmirror lattices

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Singularities of surfaces or higher-dimensional varieties (14J17) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Quadratic forms over global rings and fields (11E12) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Mirror symmetry and automorphisms, Berglund-Hübsch transpose rule and Sasakian geometry, Heterotic/type II duality and non-geometric compactifications, Mirror symmetry for nonabelian Landau-Ginzburg models

Uses Software

• Magma

Cites Work

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• A Landau-Ginzburg/Calabi-Yau correspondence for the mirror quintic
• A Landauc-Ginzburg mirror theorem without concavity
• A generalized construction of mirror manifolds
• Lines generate the Picard groups of certain Fermat surfaces
• Landau-Ginzburg/Calabi-Yau correspondence for the complete intersections \(X_{3,3}\) and \(X_{2,2,2,2}\)
• LG/CY correspondence: the state space isomorphism
• The Berglund-Hübsch-Chiodo-Ruan mirror symmetry for \(K3\) surfaces
• Birationality of Berglund-Hübsch-Krawitz mirrors
• Hypergeometric equations and weighted projective spaces
• Hypersurface simple K3 singularities
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• FJRW-rings and mirror symmetry
• Lines on Fermat surfaces
• On the classification of quasihomogeneous functions
• Landau-Ginzburg orbifolds, mirror symmetry and the elliptic genus
• The Magma algebra system. I: The user language
• Mirror symmetry for lattice polarized \(K3\) surfaces
• Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
• The mirror symmetry of \(K3\) surfaces with non-symplectic automorphisms of prime order
• Semi-Calabi-Yau orbifolds and mirror pairs
• A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence
• Berglund-Hübsch-Krawitz mirrors via Shioda maps
• Lectures on K3 Surfaces
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• PICARD LATTICES OF FAMILIES OF K3 SURFACES