Heun equations coming from geometry
Algebraic Geometry
2012-04-18 v2 Differential Geometry
Abstract
We give a list of Heun equations which are Picard-Fuchs associated to families of algebraic varieties. Our list is based on the classification of families of elliptic curves with four singular fibers done by Herfurtner. We also show that pullbacks of hypergeometric functions by rational Belyi functions with restricted ramification data give rise to Heun equations.
Cite
@article{arxiv.0902.0760,
title = {Heun equations coming from geometry},
author = {Hossein Movasati and Stefan Reiter},
journal= {arXiv preprint arXiv:0902.0760},
year = {2012}
}
Comments
14 pages