Mathematics – Algebraic Geometry
Scientific paper
2012-01-05
Mathematics
Algebraic Geometry
8 pages
Scientific paper
We consider a smooth projective surjective morphism between smooth complex projective varieties. We give a Hodge theoretic proof of the following well-known fact: If the anti-canonical divisor of the source space is nef, then so is the anti-canonical divisor of the target space. We do not use mod $p$ reduction arguments. In addition, we make some supplementary comments on our paper: On images of weak Fano manifolds.
Fujino Osamu
Gongyo Yoshinori
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