Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1725

 Title: Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve Authors: Komeda, JiryoOhbuchi, Akira Keywords: Weierstrass Semigroup of a PointDouble Covering of a Hyperelliptic Curve4-Semigroup Issue Date: 2004 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 30, No 1, (2004), 43p-54p Abstract: Let H be a 4-semigroup, i.e., a numerical semigroup whose minimum positive element is four. We denote by 4r(H) + 2 the minimum element of H which is congruent to 2 modulo 4. If the genus g of H is larger than 3r(H) − 1, then there is a cyclic covering π : C −→ P^1 of curves with degree 4 and its ramification point P such that the Weierstrass semigroup H(P) of P is H (Komeda [1]). In this paper it is showed that we can construct a double covering of a hyperelliptic curve and its ramification point P such that H(P) is equal to H even if g ≤ 3r(H) − 1. Description: 2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14H40, 20M14. URI: http://hdl.handle.net/10525/1725 ISSN: 1310-6600 Appears in Collections: Volume 30 Number 1

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