Blowing up Kähler manifolds with constant scalar curvature II

dc.creatorArezzo, Claudio
dc.creatorPacard, Frank
dc.date2005-04-06
dc.date.accessioned2026-07-07T05:18:51Z
dc.date.available2026-07-07T05:18:51Z
dc.descriptionIn this paper we continue our study about the existence of Kaehler metrics of constant scalar curvature (Kcsc) on blow ups at points of compact manifolds with Kcsc metrics started in math.DG/0411522. In this second part we deal with the case of base manifolds with holomorphic vector fields and we give sufficient conditions for the position of points to be blown up to preserve the Kcsc property. These results are obtained by a gluing procedure. We give explicit examples of our construction, in particular getting optimal results in the cases of P^n and P^n x M, where M is a Kcsc compact manifold with discrete automorphism group.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0504115
dc.identifierhttp://arxiv.org/abs/math/0504115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74813
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58E11; 32C17
dc.titleBlowing up Kähler manifolds with constant scalar curvature II
dc.typetext

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