The Weierstrass gap sets for quadruples II |
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| Authors: | Naonori Ishii |
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| Institution: | 1.Department of General Education College of Science and Technology,Nihon University,Funabashi-shi Chiba,Japan |
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| Abstract: | Let M be a compact Riemann surface of genus g. Let P
i
(i = 1, ..., 4) be 4 distinct points on M. We denote G(P
1, P
2, P
3, P
4) the Weierstrass gap set. In this paper, we prove that, for large g, the upper bound of #G(P
1, P
2, P
3, P
4) is attained if and only if M is hyperelliptic and |2P
i
| = g
21. |
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| Keywords: | |
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