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Covers of Klein surfaces
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M. Emilia Alonso
Published/Copyright:
November 28, 2008
Abstract
We consider ramified (Galois) covers of the upper half plane in the category of Klein surfaces. We study the connection between the group theoretical ramification data of the cover and its geometrical properties, such as the number of the connected components of the boundary and orientability of the surface.
Received: 2007-02-27
Published Online: 2008-11-28
Published in Print: 2008-October
© de Gruyter 2008
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Articles in the same Issue
- Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three
- Finite type Monge–Ampère foliations
- The horofunction boundary of the Hilbert geometry
- Counting the hyperplane sections with fixed invariants of a plane quintic – three approaches to a classical enumerative problem
- Totally non-real divisors in linear systems on smooth real curves
- Covers of Klein surfaces
- A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number
- On reduced polytopes and antipodality
