Local models of isolated singularities for affine special K\"ahler structures in dimension two
Differential Geometry
2019-10-24 v2 High Energy Physics - Theory
Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1711.09118,
title = {Local models of isolated singularities for affine special K\"ahler structures in dimension two},
author = {Martin Callies and Andriy Haydys},
journal= {arXiv preprint arXiv:1711.09118},
year = {2019}
}
Comments
V2: typos corrected, some conventions changed, a few changes in exposition