Komeda, J.; Ohbuchi, A. Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve. II. (English) Zbl 1224.14008 Serdica Math. J. 34, No. 4, 771-782 (2008). 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. Cited in 5 Documents MSC: 14H55 Riemann surfaces; Weierstrass points; gap sequences 14H30 Coverings of curves, fundamental group 14J26 Rational and ruled surfaces Keywords:Weierstrass semigroup of a point; double covering of a hyperelliptic curve; 4-semigroup Citations:Zbl 1075.14029 PDFBibTeX XMLCite \textit{J. Komeda} and \textit{A. Ohbuchi}, Serdica Math. J. 34, No. 4, 771--782 (2008; Zbl 1224.14008) Full Text: EuDML