Mirror quintics, discrete symmetries and Shioda maps

DOI10.1090/S1056-3911-2011-00544-4zbMath1246.14054arXiv0809.1791OpenAlexW2059698636MaRDI QIDQ2894539

Bert van Geemen, Tyler L. Kelly, Gilberto Bini

Publication date: 29 June 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1791

zbMATH Keywords

automorphism groupsPicard-Fuchs equationsquintic threefolds

Mathematics Subject Classification ID

Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (4)

Zeta functions of alternate mirror Calabi-Yau families ⋮ Hypergeometric decomposition of symmetric \(K3\) quartic pencils ⋮ Zeta functions of monomial deformations of Delsarte hypersurfaces ⋮ Voisin's conjecture for zero-cycles on Calabi-Yau varieties and their mirrors

Cites Work

• Families of quintic Calabi-Yau \(3-\) folds with discrete symmetries
• A family of Calabi-Yau varieties and potential automorphy
• Quotients of hypersurfaces in weighted projective space
• An Explicit Algorithm for Computing the Picard Number of Certain Algebraic Surfaces
• Unnamed Item

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