논문KCI 등재
Extremal configurations of three or four symmetries on a Riemann surface
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We consider Riemann surfaces with three or four symmetries, assuming that they have a maximal total number of ovals and find all the possible topological types of the symmetries realizing such a configuration.
Abstract
We consider Riemann surfaces with three or four symmetries, assuming that they have a maximal total number of ovals and find all the possible topological types of the symmetries realizing such a configuration.
참고문헌 (8)
- E. Bujalance, "Mathemati-cal contributions in honor of Professor Enrique Outerelo Domnguez (Spanish)", pp.73~76 (2004), Homen. Univ. Complut, Editorial Complutense
- E. Bujalance, "Automorphism groups of compact bordered Klein surfaces" (1990), Springer-Verlag
- G. Gromadzki, "On a Harnack-Natanzon theorem for the family of real forms of Riemann surfaces", J. Pure Appl. Algebra, 121(3), pp.253~269 (1997)
- G. Gromadzki, "On ovals on Riemann surfaces", Rev. Mat. Iberoamericana, 16(3), pp.515~527 (2000)
- G. Gromadzki, "On ovals of Riemann surfaces of even genera", Geom. Dedicata, 78(1), pp.81~88 (1999)
- A. H. M. Hoare, "Groups-St. Andrews 1981" (1982), Cambridge Univ. Press
- S. M. Natanzon, "Finite groups of homeomorphisms of surfaces and real forms of complex algebraic curves", Trans. Moscow Math. Soc, pp.1~51 (1989)
- D. Singerman, "On the structure of non-Euclidean crystallographic groups", Proc. Cam-bridge Philos. Soc, 76, pp.233~240 (1974)
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