Affine special Kaehler structures in real dimension two
Abstract
We review properties of affine special Kaehler structures focusing on singularities of such structures in the simplest case of real dimension two. We describe all possible isolated singularities and compute the monodromy of the flat symplectic connection, which is a part of a special Kaehler structure, near a singularity. Beside numerous local examples, we construct continuous families of special Kaehler structures with isolated singularities on the projective line.
 Publication:

arXiv eprints
 Pub Date:
 October 2017
 arXiv:
 arXiv:1710.05211
 Bibcode:
 2017arXiv171005211C
 Keywords:

 Mathematics  Differential Geometry;
 High Energy Physics  Theory
 EPrint:
 In Spectral Structures and Topological Methods in Mathematics, EMS Series of Congress Reports, pp. 221233, Zurich: European Mathematical Society, 2019