FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 757-761

Normal surfaces whose anticanonical divisor is numerically positive

M. M. Grinenko

Abstract

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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.

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