Zverovich, Eh. I. 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 Sib. Mat. Zh. 28, No. 6(166), 32-43 (1987). 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 Cited in 2 Reviews MSC: 30F99 Riemann surfaces 14H05 Algebraic functions and function fields in algebraic geometry Keywords:functionals on Riemann surfaces PDFBibTeX XMLCite \textit{Eh. I. Zverovich}, Sib. Mat. Zh. 28, No. 6(166), 32--43 (1987; Zbl 0633.30045) Full Text: EuDML