Vol. 9, No. 2, 2015

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ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Semiample invertible sheaves with semipositive continuous hermitian metrics

Atsushi Moriwaki

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

Let (L,h) be a pair of a semiample invertible sheaf and a semipositive continuous hermitian metric on a proper algebraic variety over . 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