Weierstrass Semigroup of a Point Double Covering of a Hyperelliptic Curve 4-Semigroup
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 34, No 4, (2008), 771p-782p
A 4-semigroup means a numerical semigroup whose minimum positive integer is 4. In  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.