For a polar pair of d-dimensional reflexive polytopes with d at least 3, the sum of the Picard ranks of the associated Gorenstein toric Fano varieties is at most min(number of facets, number of vertices) minus d plus 1.
Polyhedra: a package for computations with convex polyhedral objects
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Reflexive polytopes and the Picard ranks of Gorenstein toric Fano varieties
For a polar pair of d-dimensional reflexive polytopes with d at least 3, the sum of the Picard ranks of the associated Gorenstein toric Fano varieties is at most min(number of facets, number of vertices) minus d plus 1.