Given a compact Kähler orbifold with an extremal metric, whose singularities admit a local ALE Kähler scalar-flat resolution, we prove that there exists a Kähler desingularization with an extremal metric. Moreover we study the same problem for constant scalar curvature metrics and prove some partial results.

On the Resolution of Extremal and Constant Scalar Curvature Kähler Orbifolds / Arezzo, Claudio; Lena, Riccardo; Mazzieri, Lorenzo. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2016:21(2016), pp. 6415-6452. [10.1093/imrn/rnv346]

On the Resolution of Extremal and Constant Scalar Curvature Kähler Orbifolds

Claudio Arezzo;Riccardo Lena;
2016-01-01

Abstract

Given a compact Kähler orbifold with an extremal metric, whose singularities admit a local ALE Kähler scalar-flat resolution, we prove that there exists a Kähler desingularization with an extremal metric. Moreover we study the same problem for constant scalar curvature metrics and prove some partial results.
On the Resolution of Extremal and Constant Scalar Curvature Kähler Orbifolds / Arezzo, Claudio; Lena, Riccardo; Mazzieri, Lorenzo. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2016:21(2016), pp. 6415-6452. [10.1093/imrn/rnv346]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2862960
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