Lattice duality for families of \(K\)3 surfaces associated to transpose duality

DOI10.1007/s00229-017-0936-5zbMath1387.14105arXiv1704.01671OpenAlexW2586836082MaRDI QIDQ1692182

Makiko Mase

Publication date: 26 January 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01671

zbMATH Keywords

lattice mirror symmetryfamilies of \(K3\) surfaces geometrypolytope dualitytranspose duality

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) (K3) surfaces and Enriques surfaces (14J28) Picard groups (14C22)

Related Items (1)

Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution

Cites Work

• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Duality of weights, mirror symmetry and Arnold's strange duality
• Mirror symmetry for lattice polarized \(K3\) surfaces
• A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Polytope duality for families of $K3$ surfaces associated to transpose duality
• A mirror duality for families of \(K3\) surfaces associated to bimodular singularities

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