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<p>We construct new examples of constant scalar curvature Kähler metrics on suitable resolutions of certain constant scalar curvature Kähler orbifolds with singularities of type <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_2016_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal {I}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">I</mi> </math></EquationSource> </InlineEquation> in the sense of Apostolov–Rollin, along a suborbifold of complex codimension <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_2016_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="42" /> </InlineMediaObject> <EquationSource Format="TEX">\(k &gt; 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo>&gt;</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Constant Scalar Curvature Kähler Metrics on Resolutions of an Orbifold Singularity of Depth 1

  • 期刊论文

  • 发表日期：

    2025年5月5日

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  • Mehrdad Najafpour

摘要

We construct new examples of constant scalar curvature Kähler metrics on suitable resolutions of certain constant scalar curvature Kähler orbifolds with singularities of type \(\mathcal {I}\) I in the sense of Apostolov–Rollin, along a suborbifold of complex codimension \(k > 2\) k > 2 .