Isolated singularities of affine special Kähler metrics in two dimensions

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.

References in corpus (2)

• Twist geometry of the c-map
• The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point

Cited by in corpus (2)

• Local models of isolated singularities for affine special Kähler structures in dimension two
• Special Kähler geometry and holomorphic Lagrangian fibrations