Toric Fano 3-folds with terminal singularities

Details Toric Fano 3-folds with terminal singularities Toric Fano 3-folds with terminal singularities

2003-11-17

arxiv.org/abs/math/0311284v1

Tohoku Math. J. (2) 58 (2006), no. 1, 101-121

Mathematics

Algebraic Geometry

19 pages

Scientific paper

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.

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