Scalar flat Kähler metrics on affine bundles over CP1

Nobuhiro Honda

doi:10.3842/SIGMA.2014.046

Scalar flat Kähler metrics on affine bundles over CP¹

Nobuhiro Honda

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We show that the total space of any affine C-bundle over CP¹ with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree.

Original language	English
Article number	046
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	10
DOIs	https://doi.org/10.3842/SIGMA.2014.046
Publication status	Published - 2014 Apr 19
Externally published	Yes

Keywords

Affine bundle
Scalar-flat Kähler metric
Twistor space

ASJC Scopus subject areas

Analysis
Mathematical Physics
Geometry and Topology

Access to Document

10.3842/SIGMA.2014.046

Cite this

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abstract = "We show that the total space of any affine C-bundle over CP1 with negative degree admits an ALE scalar-flat K{\"a}hler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree.",

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