The Riemann-Hurwitz relation, parallel slit covering map, and continuation of an open Riemann surface of finite genus

Author:

Shiba Masakazu

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference36 articles.

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2. [2] Ahlfors, L. V. and L. Sario: Riemann surfaces. Princeton Univ. Press, Princeton, 1960.

3. [3] Appell, P. E. Goursat, et P. Fatou: Theorie des fonctions algebriques, t. II. (Theorie des fonctions algbriques d'une variable et des transcendantes qui s'y rattachent.) Gauthier- Villars, Paris. 1930.Reprint: Chelsea, New York,1978.

4. [4] Cecioni, F.: Sulla rappresentatione conforme delle aree piane pluriconnesse su un piano in cui siano eseguiti dei tagli paralleli, Rend. Circ. Mat.Palermo, 25 (1908), 1-19.

5. [5] Chern, S.S.: Curves and surfaces in euclidean space; in Studies in global geometry and analysis, ed. by S.S. Chern, Math. Assoc. Amer., Prentice-Hall, Englewood Cliffs, 1967, pp. 16-56.

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