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arXiv · 1201.1130

On images of weak Fano manifolds II

Osamu Fujino·Yoshinori Gongyo
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Abstract

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.

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Osamu Fujino, Yoshinori Gongyo. 2012-01-05. On images of weak Fano manifolds II. https://arxiv.org/abs/1201.1130

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