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Dynamical construction of Kähler-Einstein metrics

Published online by Cambridge University Press:  11 January 2016

Hajime Tsuji
Hajime Tsuji*
Affiliation:
Department of Mathematics, Sophia University, 7-1 Kioicho, Chiyoda-ku 102-8554, Japan, h-tsuji@h03.itscom.net
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Abstract

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In this article, we give a new construction of a Kähler-Einstein metric on a smooth projective variety with ample canonical bundle. As a consequence, for a dominant projective morphism f: X → S with connected fibers such that a general fiber has an ample canonical bundle, and for a positive integer m, we construct a canonical singular Hermitian metric hE,m on with semipositive curvature in the sense of Nakano.

Keywords

53C2532G0753C5558E11
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 199 , September 2010 , pp. 107 - 122
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2010

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