Quotients of the holomorphic 2-ball and the turnover
arXiv:2109.08753
Abstract
We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples of the same type, which are locally rigid. In particular, we obtain examples of complex hyperbolic structures on trivial and cotangent disc bundles over closed Riemann surfaces.
42 pages, 21 figures, 3 tables. In this version, we restructured the text and provided an alternative proof of Proposition 44 in Remark 45