Strong arithmetic mirror symmetry and toric isogenies

DOI10.1090/conm/703/14133zbMath1447.11072arXiv1610.01011OpenAlexW2964008164MaRDI QIDQ4685917

Christopher Magyar, Ursula Whitcher

Publication date: 9 October 2018

Published in: Higher Genus Curves in Mathematical Physics and Arithmetic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01011

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic curves (14H52) Arithmetic mirror symmetry (11G42)

Related Items (2)

Zeta functions of alternate mirror Calabi-Yau families ⋮ Counting points with Berglund–Hübsch–Krawitz mirror symmetry

Uses Software

• SageMath

Cites Work

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• \(p\)-adic Berglund-Hübsch duality
• Complete classification of reflexive polyhedra in four dimensions
• Variation of the unit root along the Dwork family of Calabi-Yau varieties
• Linear Gale transforms and Gelfand-Kapranov-Zelevinskij decompositions
• Picard-Fuchs uniformization and modularity of the mirror map.
• Mirror symmetry for lattice polarized \(K3\) surfaces
• Alternate mirror families and hypergeometric motives
• Mirror congruence for rational points on Calabi-Yau varieties
• Distinguished-root formulas for generalized Calabi-Yau hypersurfaces
• Endomorphisms of Abelian varieties over finite fields
• On a Family of K3 Surfaces with $$\mathcal{S}_{4}$$ Symmetry
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• On the Rationality of the Zeta Function of an Algebraic Variety

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