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Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve. II. (English) Zbl 1224.14008

Summary: A 4-semigroup means a numerical semigroup whose minimum positive integer is 4. In [J. Komeda and A. Ohbuchi, Corrigendum for Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve, Serdica Math. J. 30, No. 1, 43–54 (2004; Zbl 1075.14029); corrigendum ibid. 32, No. 4, 375–378 (2006)], we showed that a 4-semigroup with some conditions is the Weierstrass semigroup of a ramification point on a double covering of a hyperelliptic curve. In this paper we prove that the above statement holds for every 4-semigroup.

MSC:

14H55 Riemann surfaces; Weierstrass points; gap sequences
14H30 Coverings of curves, fundamental group
14J26 Rational and ruled surfaces

Citations:

Zbl 1075.14029
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