Real Algebraic and Analytic Geometry |

Covers of Klein Surfaces.

e-mail: ,

Submission: 2004, November 5.

*Abstract:
In this paper we study certain aspects of the real forms of a ramified covering of the complex projective line
by a compact Riemann surface. That is, we are dealing with coverings of Klein surfaces q : Y --> H,
where H denotes the upper half plane as a Klein surface, t : X --> Y is the canonical double covering of Y, a
nd q·t = j·p, where j : P --> H is the canonical double covering of the upper half plane
by the Riemann sphere. We are especially interested in the case where X/H is Galois, that is |Aut(X/H)| = deg(X/H).*

Mathematics Subject Classification (2000): 30F50, 14Q05, 14E20.

Keywords and Phrases: Klein surfaces, Real algebraic curves, Coverings of P1.

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