Local models of isolated singularities for affine special Kähler structures in dimension two

  title={Local models of isolated singularities for affine special K{\"a}hler structures in dimension two},
  author={M. Callies and Andriy Haydys},
  journal={International Mathematics Research Notices},
  • M. Callies, Andriy Haydys
  • Published 2017
  • Mathematics, Physics
  • International Mathematics Research Notices
  • 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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