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arXiv · 1711.09118

Local models of isolated singularities for affine special K\"ahler structures in dimension two

Martin Callies·Andriy Haydys
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Abstract

We construct local models of isolated singularities for special K\"ahler structures in real dimension two assuming that the associated holomorphic cubic form does not have essential singularities. As an application we compute the holonomy of the flat symplectic connection, which is a part of the special K\"ahler structure.

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Martin Callies, Andriy Haydys. 2017-11-24. Local models of isolated singularities for affine special K\"ahler structures in dimension two. https://doi.org/10.1093/imrn%2Frny165

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