Weierstrass gap sets for quadruples of points on compact Riemann surfaces
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作者:
Ishii, N
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Nihon Univ, Coll Sci & Technol, Math Div Gen Educ, Funabashi, Chiba 274, JapanNihon Univ, Coll Sci & Technol, Math Div Gen Educ, Funabashi, Chiba 274, Japan
Ishii, N
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机构:
[1] Nihon Univ, Coll Sci & Technol, Math Div Gen Educ, Funabashi, Chiba 274, Japan
Let M be a compact Riemann surface of genus g, and let P-1,..., P-4 be distinct points on M. We study the Weierstrass gap set G(P-1..., P-4) and prove the conjecture of Ballico and Kim on the upper bound of #G(P-1,..., P-4) affirmatively in case M is d-gonal curve of genus g greater than or equal to 5 with d = 2 or d greater than or equal to 5. (C) 2002 Elsevier Science (USA).