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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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| dc.contributor.author | Honda, N. | |
| dc.date.accessioned | 2019-02-10T18:55:07Z | |
| dc.date.available | 2019-02-10T18:55:07Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 53A30 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.046 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146689 | |
| dc.description.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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Scalar Flat Kähler Metrics on Affine Bundles over CP¹ | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
