Toric Fano three-folds with terminal singularities

By Alexander M. Kasprzyk. 2003

49 citations recorded by the source corpus.

This paper classifies all toric Fano 3-folds with terminal singularities. This is achieved by solving the equivalent combinatoric problem; that of finding, up to the action of GL(3,Z), all convex polytopes in Z^3 which contain the origin as the only non-vertex lattice point.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f7caf83374060a29276116f53a30cefad5c19df9