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Weierstrass Gap Sets for Quadruples of Points on Compact Riemann Surfaces

✍ Scribed by Naonori Ishii


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
152 KB
Volume
250
Category
Article
ISSN
0021-8693

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✦ Synopsis


Ž

. points on M. We study the Weierstrass gap set G P , . . . , P and prove the 1 4 Ž . conjecture of Ballico and Kim on the upper bound of ࠻G P , . . . , P affirmatively 1 4 in case M is d-gonal curve of genus g G 5 with d s 2 or d G 5. ᮊ 2002 Elsevier Ž . Science USA 1 1 Ž . cardinality ࠻G P is equal to the genus g of M. 1 Ž . But in case n G 2, ࠻G P , . . . , P depends on the choice of M and the 1 n Ä 4 set of points P , . . . , P on M.