Toric Fano three-folds with terminal singularities
Kasprzyk, Alexander M. (2006) Toric Fano three-folds with terminal singularities. Tohoku Mathematical Journal, 58 (1). pp. 101-121. ISSN 0040-8735
Official URL: http://projecteuclid.org/euclid.tmj/1145390208
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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