Multiple realizations of varieties as ball quotient compactifications
Algebraic Geometry
2015-10-22 v2 Differential Geometry
Geometric Topology
Abstract
We study the number of distinct ways in which a smooth projective surface can be realized as a smooth toroidal compactification of a ball quotient. It follows from work of Hirzebruch that there are infinitely many distinct ball quotients with birational smooth toroidal compactifications. We take this to its natural extreme by constructing arbitrarily large families of distinct ball quotients with biholomorphic smooth toroidal compactifications.
Cite
@article{arxiv.1503.06712,
title = {Multiple realizations of varieties as ball quotient compactifications},
author = {Luca F. Di Cerbo and Matthew Stover},
journal= {arXiv preprint arXiv:1503.06712},
year = {2015}
}
Comments
Minor changes and references updated. To appear in Michigan Math. J