reflexive polytopes

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:characterizedBy dual polytope is also a lattice polytope
gptkbp:citation Batyrev, V. V. (1994). Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties. J. Algebraic Geom.
gptkbp:definedIn lattice polytopes
gptkbp:dimensions any positive integer
gptkbp:field gptkb:algebraic_geometry
gptkb:geometry
combinatorics
https://www.w3.org/2000/01/rdf-schema#label reflexive polytopes
gptkbp:introduced gptkb:Victor_Batyrev
gptkbp:introducedIn 1994
gptkbp:numberIn2D 16
gptkbp:numberIn3D 4319
gptkbp:numberIn4D 473800776
gptkbp:property contains the origin in its interior
dual is also reflexive
vertices have integer coordinates
gptkbp:relatedTo gptkb:Calabi–Yau_varieties
Gorenstein Fano varieties
gptkbp:usedIn gptkb:mirror_symmetry
toric geometry
gptkbp:bfsParent gptkb:Batyrev_mirror_construction
gptkbp:bfsLayer 6