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Elliptic-hyperelliptic, normal, unramified, double coverings of bordered hyperelliptic Klein surfaces are considered here, using methods of the theory on non-Euclidean crystallographic groups. Complete proofs will appear elsewheretexto impreso
"The paper deals with representation of polynomials in several variables over a real closed field as sums of 2mth powers of rational functions. It has been proved by A. Prestel that even in one variable over R, the set of polynomials of given de[...]
