Kyoto Journal of Mathematics

On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles

Takayuki Koike

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Abstract

We apply Ueda theory to a study of singular Hermitian metrics of a (strictly) nef line bundle L. Especially we study minimal singular metrics of L, metrics of L with the mildest singularities among singular Hermitian metrics of L whose local weights are plurisubharmonic. In some situations, we determine a minimal singular metric of L. As an application, we give new examples of (strictly) nef line bundles which admit no smooth Hermitian metric with semipositive curvature.

Article information

Source
Kyoto J. Math., Volume 55, Number 3 (2015), 607-616.

Dates
Received: 17 June 2014
Accepted: 8 July 2014
First available in Project Euclid: 9 September 2015

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1441824039

Digital Object Identifier
doi:10.1215/21562261-3089091

Mathematical Reviews number (MathSciNet)
MR3395981

Zentralblatt MATH identifier
1323.32011

Subjects
Primary: 32J25: Transcendental methods of algebraic geometry [See also 14C30]
Secondary: 14C20: Divisors, linear systems, invertible sheaves

Keywords
nef line bundles singular Hermitian metrics minimal singular metrics Ueda theory

Citation

Koike, Takayuki. On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles. Kyoto J. Math. 55 (2015), no. 3, 607--616. doi:10.1215/21562261-3089091. https://projecteuclid.org/euclid.kjm/1441824039


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