Metrics with Positive constant curvature and modular differential equations
Journal
Cambridge Journal of Mathematics
Journal Volume
9
Journal Issue
4
Start Page
977-1033
ISSN
2168-0930
2168-0949
Date Issued
2021
Author(s)
Abstract
In this paper, we consider the problem when a differential equation y(z)=Q(z)y(z) is Fuchsian on H* and apparent on H, where Q(z) is a meromorphic modular form of weight 4 on SL(2,Z) and H denotes the complex upper half-plane. Such a problem is closely related to the problem of the existence of a conformal metric with curvature 1/2 on H.
Publisher
International Press of Boston
Type
journal article