Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve
Komeda, Jiryo, Ohbuchi, Akira (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14H40, 20M14. 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...