Singular toric Fano varieties
Sbornik. Mathematics, Tome 75 (1993) no. 1, pp. 277-283

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The authors prove that the number of types of toric Fano varieties with certain constraints on the singularities is finite.
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A. A. Borisov; L. A. Borisov. Singular toric Fano varieties. Sbornik. Mathematics, Tome 75 (1993) no. 1, pp. 277-283. http://geodesic.mathdoc.fr/item/SM_1993_75_1_a16/