A hyperbolic surface with a square grid net |
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| Authors: | Lukas Geyer Sergei Merenkov |
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| Institution: | (1) Department of Mathematics, University of Michigan, 525 E. University, 48109 Ann Arbor, MI, USA |
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| Abstract: | We prove the existence of a hyperbolic surface spread over the sphere for which the projection map has all its singular values
on the extended real line and such that the preimage of the extended real line under the projection map is homeomorphic to
the square grid in the plane. This answers a question raised by è. B. Vinberg.
Supported by the Alexander von Humboldt Foundation.
Supported by NSF grants DMS-0400636, DMS-0244421, and DMS-0244547. |
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