Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 22-27
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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/
@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},
year = {1982},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a6/}
}
TY - JOUR
AU - V. V. Batyrev
TI - Boundedness of the degree of multidimensional toric Fano varieties
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 22
EP - 27
IS - 1
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a6/
LA - ru
ID - VMUMM_1982_1_a6
ER -
%0 Journal Article
%A V. V. Batyrev
%T Boundedness of the degree of multidimensional toric Fano varieties
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 22-27
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a6/
%G ru
%F VMUMM_1982_1_a6
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.
