Quotients of the holomorphic 2-ball and the turnover

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 trivia...

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Published inarXiv.org
Main Authors Botós, Hugo C, Grossi, Carlos H
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 12.02.2024
Subjects
Quotients
Riemann surfaces
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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.
AbstractList 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.
Author Grossi, Carlos H
Botós, Hugo C
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Snippet We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the...
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Riemann surfaces
Title Quotients of the holomorphic 2-ball and the turnover
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