Geodesic
Normal surfaces whose anticanonical divisor is numerically positive
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 757-761.

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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. 
@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},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a20/}
}
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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/