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dc.contributor.authorJeffres, Thalia D.
dc.contributor.authorMazzeo, Rafe
dc.contributor.authorRubinstein, Yanir A.
dc.identifier.citationJeffres, Thalia D.; Mazzeo, Rafe; Rubinstein, Yanir A. 2016. Kahler-Einstein metrics with edge singularities. Annals of Mathematics, vol. 183:no. 1:pp 95-176en_US
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractThis article considers the existence and regularity of Kahler Einstein metrics on a compact Kahler manifold M with edge singularities with cone angle 2 pi beta along a smooth divisor D. We prove existence of such metrics with negative, zero and some positive cases for all cone angles 2 pi beta <= 2 pi. The results in the positive case parallel those in the smooth case. We also establish that solutions of this problem are polyhomogeneous, i.e., have a complete asymptotic expansion with smooth coefficients along D for all 2 pi beta < 2 pi.en_US
dc.description.sponsorshipNSF supported this research through grants DMS-0805529, 1105050 (R.M.) and DMS-0802923, 1206284 (Y.A.R.).en_US
dc.publisherPrinceton Universityen_US
dc.relation.ispartofseriesAnnals of Mathematics;v.183:no.1
dc.subjectDegenerate complex Mongeen_US
dc.subjectAmpère equationen_US
dc.subjectEdge operatorsen_US
dc.subjectKähler Einstein metricsen_US
dc.subjectResearch Subject Categories::MATHEMATICSen_US
dc.titleKahler-Einstein metrics with edge singularitiesen_US
dc.rights.holderCopyright © 2016 Princeton Universityen_US

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