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September 2010 Dynamical construction of Kähler-Einstein metrics
Hajime Tsuji
Nagoya Math. J. 199: 107-122 (September 2010). DOI: 10.1215/00277630-2010-005

Abstract

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:XS 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 fOXmKX/S with semipositive curvature in the sense of Nakano.

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Hajime Tsuji. "Dynamical construction of Kähler-Einstein metrics." Nagoya Math. J. 199 107 - 122, September 2010. https://doi.org/10.1215/00277630-2010-005

Information

Published: September 2010
First available in Project Euclid: 14 September 2010

zbMATH: 1205.32021
MathSciNet: MR2730413
Digital Object Identifier: 10.1215/00277630-2010-005

Subjects:
Primary: 32G07, 53C25, 53C55, 58E11

Rights: Copyright © 2010 Editorial Board, Nagoya Mathematical Journal

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Vol.199 • September 2010
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