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arXiv · 1510.02226

ALE scalar-flat Kähler metrics on non-compact weighted projective spaces

Vestislav Apostolov·Yann Rollin
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Abstract

We construct new explicit toric scalar-flat K{ä}hler ALE metrics on weighted projective spaces of non-compact type, which we use to obtain smooth extremal K{ä}hler metrics on appropriate resolutions of orbifolds. In particular, we obtain new extremal metrics certain resolutions of weighted projective spaces of compact type.

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BibTeXRIS

Vestislav Apostolov, Yann Rollin. 2016-03-24. ALE scalar-flat Kähler metrics on non-compact weighted projective spaces. https://arxiv.org/abs/1510.02226

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