Scalar Flat Kähler Metrics on Affine Bundles over CP¹

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dc.contributor.authorHonda, N.
dc.date.accessioned2019-02-10T18:55:07Z
dc.date.available2019-02-10T18:55:07Z
dc.date.issued2014
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationScalar 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 53A30
dc.identifier.otherDOI:10.3842/SIGMA.2014.046
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146689
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleScalar Flat Kähler Metrics on Affine Bundles over CP¹uk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік