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Blowing up and desingularizing constant scalar curvature Kähler manifolds

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Acta Mathematica

Abstract

This paper is concerned with the existence of constant scalar curvature Kähler metrics on blow-ups at finitely many points of compact manifolds which already carry constant scalar curvature Kähler metrics. We also consider the desingularization of isolated quotient singularities of compact orbifolds which carry constant scalar curvature Kähler metrics.

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Authors and Affiliations

  1. Department of Mathematics, University of Parma, Via Parco delle Scienze 53/A, IT-43100, Parma, Italy

    Claudio Arezzo

  2. University Paris 12, 61 Avenue du Général de Gaulle, FR-94014, Créteil, France

    Frank Pacard

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  1. Claudio Arezzo
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  2. Frank Pacard
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Correspondence to Claudio Arezzo.

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Arezzo, C., Pacard, F. Blowing up and desingularizing constant scalar curvature Kähler manifolds. Acta Math 196, 179–228 (2006). https://doi.org/10.1007/s11511-006-0004-6

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  • DOI: https://doi.org/10.1007/s11511-006-0004-6

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