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 |
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Article number | 046 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 10 |
DOIs | |
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