Forgetful maps between Deligne-Mostow ball quotients
Differential Geometry
2011-04-14 v2
Abstract
We study forgetful maps between Deligne-Mostow moduli spaces of weighted points on P^1, and classify the forgetful maps that extend to a map of orbifolds between the stable completions. The cases where this happens include the Livn\'e fibrations and the Mostow/Toledo maps between complex hyperbolic surfaces. They also include a retraction of a 3-dimensional ball quotient onto one of its 1-dimensional totally geodesic complex submanifolds.
Keywords
Cite
@article{arxiv.0811.4286,
title = {Forgetful maps between Deligne-Mostow ball quotients},
author = {Martin Deraux},
journal= {arXiv preprint arXiv:0811.4286},
year = {2011}
}