Geodesic
Boundedness of the degree of multidimensional toric Fano varieties
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 22-27

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Let $V$ be a nonsingular projective torical variety with ample anti-canonical sheaf, i. e. a torical Fano variety. It is proved that the degree of this variety is less then a constant depending only on the dimension of $V$. There is a simple method for the computation of this constant. 
@article{VMUMM_1982_1_a6,
     author = {V. V. Batyrev},
     title = {Boundedness of the degree of multidimensional toric {Fano} varieties},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {22--27},
     publisher = {mathdoc},
     number = {1},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a6/}
}
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V. V. Batyrev. Boundedness of the degree of multidimensional toric Fano varieties. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 22-27. http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a6/