Geometric balance of cuspidal points realizing dessins d'enfants on the Riemann sphere |
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| Authors: | Toru Komatsu |
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| Institution: | (1) Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1 Hachioji-shi Tokyo, 192-0397 Japan (e-mail: trkomatu@comp.metro-u.ac.jp) , JP |
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| Abstract: | In this paper we give necessary and sufficient conditions for a finite set of points A in to be the set of cuspidal points for a Belyi function of genus zero. The most important one of these conditions is a fundamental
relation of geometric balance which must be satisfied by the points of A.
Received January 31, 2000 / Accepted October 23, 2000 / Published online March 12, 2001 |
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