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Scalar Flat Kähler Metrics on Affine Bundles over CP¹
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Scalar Flat Kähler Metrics on Affine Bundles over CP¹
Інший ID:
2010 Mathematics Subject Classification: 53A30
DOI:10.3842/SIGMA.2014.046
DOI:10.3842/SIGMA.2014.046
Посилання:
Scalar Flat Kähler Metrics on Affine Bundles over CP¹ / N. Honda // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Progress in Twistor Theory. The full collection is available
at http://www.emis.de/journals/SIGMA/twistors.html.
I would like to thank Jef f Viaclovsky for numerous useful discussion from which this work has
originated. Also I would like to thank Akira Fujiki for invaluable comments on deformations of
line bundles. This work was supported by JSPS KAKENHI Grant Number 24540061.
Дата:
2014
Переглядів:
593
Завантажень:
252
Анотація:
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.
