Holomorphic geometric structures on Kähler–Einstein manifolds

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dc.contributor.authorMcKay, Benjamin
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2018-07-23T11:58:22Z
dc.date.available2018-07-23T11:58:22Z
dc.date.issued2016-08-12
dc.date.updated2018-07-23T11:46:50Z
dc.description.abstractWe prove that the compact Kähler manifolds with c1≥0 that admit holomorphic parabolic geometries are the flat bundles of rational homogeneous varieties over complex tori. We also prove that the compact Kähler manifolds with c1≥0 that admit holomorphic cominiscule geometries are the locally Hermitian symmetric varieties.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMcKay, B. (2017) 'Holomorphic geometric structures on Kähler–Einstein manifolds', manuscripta mathematica, 153(1), pp. 1-34. doi:10.1007/s00229-016-0873-8en
dc.identifier.doi10.1007/s00229-016-0873-8
dc.identifier.endpage34en
dc.identifier.issn1432-1785
dc.identifier.issn0025-2611
dc.identifier.issued1en
dc.identifier.journaltitlemanuscripta mathematicaen
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/6492
dc.identifier.volume153en
dc.language.isoenen
dc.publisherSpringer International Publishing AGen
dc.relation.projectinfo:eu-repo/grantAgreement/SFI/SFI International Strategic Cooperation Award (ISCA)/13/ISCA/2844/IE/Ireland-India ISCA Programme/en
dc.rights© 2016, Springer-Verlag Berlin Heidelberg. This is a post-peer-review, pre-copyedit version of an article published in manuscripta mathematica. The final authenticated version is available online at: https://doi.org/10.1007/s00229-016-0873-8en
dc.subjectHolomorphic cominisculeen
dc.subjectNoncominiscule holomorphic parabolic geometryen
dc.subjectKähler–Einstein manifolden
dc.titleHolomorphic geometric structures on Kähler–Einstein manifoldsen
dc.typeArticle (peer-reviewed)en
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