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arXiv:2109.08753 [math.GT]AbstractReferencesReviewsResources

Quotients of the holomorphic 2-ball and the turnover

Hugo C. Botós, Carlos H. Grossi

Published 2021-09-17Version 1

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.

Comments: 31 pages, 19 figures
Categories: math.GT, math.DG
Subjects: 57S30, 51M10, 57M50, 57R18
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