Classification of toric Fano 5-folds

Abstract

We obtain 866 isomorphism classes of five-dimensional nonsingular toric Fano varieties using a computer program and the database of four-dimensional reflexive polytopes. The algorithm is based on the existence of facets of Fano polytopes having small integral distance from any vertex.

AMS-LaTeX, 12 pages with 1 figure; minor corrections

References in corpus (4)

• PALP: A Package for Analyzing Lattice Polytopes with Applications to Toric Geometry
• Gorenstein toric Fano varieties
• An algorithm for the classification of smooth Fano polytopes
• Toric complete intersections and weighted projective space

Cited by in corpus (6)

• Brane Tilings and Reflexive Polygons
• Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds
• The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
• PALP - a User Manual
• Quasi elementary contractions of Fano manifolds
• Frobenius splitting and Derived category of toric varieties