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Algebraic method for the construction of the fundamental functionals of a Riemann surface given in the form of a finite sheeted covering sphere. (Russian) Zbl 0633.30045

The author solves by an algebraic method a problem of the fundamental functionals constructing on Riemann surfaces given as n-sheeted covering over the Riemann sphere \(\hat C.\) Necessary data are the number n of sheets, the number m of projections \(a_ 1,...,a_ m\in \hat C\) of branching points and nonidentical transpositions describing the law of sheets gluing in the vicinity of every point \(a_ i\). An example in which \(m=n=3\) is considered in the paper.
Reviewer: V.Z.Enolskij

MSC:

30F99 Riemann surfaces
14H05 Algebraic functions and function fields in algebraic geometry
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