Hyperbolic Structures and Root Systems
Algebraic Geometry
2010-03-30 v1 Representation Theory
Abstract
We discuss the construction of a one parameter family of complex hyperbolic structures on the complement of a toric mirror arrangement associated with a simply laced root system. Subsequently we find conditions for which parameter values this leads to ball quotients.
Cite
@article{arxiv.1003.5522,
title = {Hyperbolic Structures and Root Systems},
author = {Gert Heckman and Eduard Looijenga},
journal= {arXiv preprint arXiv:1003.5522},
year = {2010}
}