Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 757-761
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M. M. Grinenko. Normal surfaces whose anticanonical divisor is numerically positive. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 757-761. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a20/
@article{FPM_1998_4_2_a20,
author = {M. M. Grinenko},
title = {Normal surfaces whose anticanonical divisor is numerically positive},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {757--761},
year = {1998},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a20/}
}
TY - JOUR
AU - M. M. Grinenko
TI - Normal surfaces whose anticanonical divisor is numerically positive
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 757
EP - 761
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a20/
LA - ru
ID - FPM_1998_4_2_a20
ER -
%0 Journal Article
%A M. M. Grinenko
%T Normal surfaces whose anticanonical divisor is numerically positive
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 757-761
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a20/
%G ru
%F FPM_1998_4_2_a20
Let $X$ be a normal projective surface and anticanonical divisor $-K_{X}$ is numerically positive. Then $-K_{X}$ is numerically ample and rationality of $X$ is equivalent to its $\mathbb Q$-factoriality.