#### Vol. 9, No. 2, 2015

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Semiample invertible sheaves with semipositive continuous hermitian metrics

### Atsushi Moriwaki

Vol. 9 (2015), No. 2, 503–509
##### Abstract

Let $\left(L,h\right)$ be a pair of a semiample invertible sheaf and a semipositive continuous hermitian metric on a proper algebraic variety over $ℂ$. In this paper, we prove that $\left(L,h\right)$ is semiample metrized, answering a generalization of a question of S. Zhang.

##### Keywords
semiample metrized, semipositive
##### Mathematical Subject Classification 2010
Primary: 14C20
Secondary: 32U05, 14G40