Birationality of Berglund-Hübsch-Krawitz mirrors

DOI10.1007/s00220-014-2121-yzbMath1395.14034arXiv1209.5016OpenAlexW3105106158MaRDI QIDQ742859

Mark Shoemaker

Publication date: 19 September 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5016

zbMATH Keywords

toric varietiesmirror symmetryBerglund-Hübsch-Krawitz transpose

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Rational and birational maps (14E05) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

On the equivalence of Batyrev and BHK mirror symmetry constructions, Birationality and Landau-Ginzburg models, Families of Calabi-Yau hypersurfaces in \(\mathbb Q\)-Fano toric varieties, On the birationality of complete intersections associated to nef-partitions, Dual fans and mirror symmetry, Relationship between two Calabi-Yau orbifolds arising as hyper-surfaces in a quotient of the same weighted projective space, On Clifford double mirrors of toric complete intersections, A proof of the birationality of certain BHK-mirrors, Equivalences of families of stacky toric Calabi-Yau hypersurfaces, Mirror symmetry for \(K3\) surfaces, Periods of the multiple Berglund-Hübsch-Krawitz mirrors, Derived categories of BHK mirrors, Borcea-Voisin mirror symmetry for Landau-Ginzburg models

Cites Work

• The Witten equation, mirror symmetry, and quantum singularity theory
• A generalized construction of mirror manifolds
• LG/CY correspondence: the state space isomorphism
• Duality for toric Landau-Ginzburg models
• Berglund-Hübsch mirror symmetry via vertex algebras
• Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Unnamed Item