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Isolated Singularities of Affine Special Kähler Metrics in Two Dimensions

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Abstract

We prove that there are just two types of isolated singularities of special Kähler metrics in real dimension two, provided the associated holomorphic cubic form does not have essential singularities. We also construct examples of such metrics.

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Authors and Affiliations

  1. University of Bielefeld, Bielefeld, Germany

    Andriy Haydys

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  1. Andriy Haydys
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Correspondence to Andriy Haydys.

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Communicated by N. A. Nekrasov

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Haydys, A. Isolated Singularities of Affine Special Kähler Metrics in Two Dimensions. Commun. Math. Phys. 340, 1231–1237 (2015). https://doi.org/10.1007/s00220-015-2441-6

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  • DOI: https://doi.org/10.1007/s00220-015-2441-6

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