Semiample invertible sheaves with semipositive continuous hermitian metrics

Moriwaki, Atsushi

doi:10.2140/ant.2015.9.503

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Semiample invertible sheaves with semipositive continuous hermitian metrics

Atsushi Moriwaki

Vol. 9 (2015), No. 2, 503–509

DOI: 10.2140/ant.2015.9.503

Abstract

Let $(L, h)$ 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 $(L, h)$ 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

Milestones

Received: 9 November 2014

Revised: 1 January 2015

Accepted: 16 February 2015

Published: 5 March 2015

Authors

Atsushi Moriwaki
Department of Mathematics, Faculty of Science Kyoto University Kyoto 606-8502 Japan

Vol. 9, No. 2, 2015