an:06427224
Zbl 1316.14056
Harui, Takeshi; Komeda, Jiryo; Ohbuchi, Akira
The Weierstrass semigroups on double covers of genus two curves
EN
Tsukuba J. Math. 38, No. 2, 201-206 (2014).
00343203
2014
j
14H55 14H45 20M14
numerical semigroup; Weierstrass semigroup; double cover of a curve; curve of genus two
A submonoid of non-negative integers is called a numerical semigroup if its complement is a finite set. The cardinality of the complement is called the genus. A numerical semigroup obtained by an algebraic curve and its point is called Weierstrass semigroup. A numerical semigroup is said to be of double covering type if it is obtained by an algebraic curve which is double covering of a curve and its ramification point. Numerical semigroups of double covering type obtained by double covering of curves of genus 0 and 1 were determined completely. In this paper, the authors determined numerical semigroups of double covering type obtained by double covering of curves of genus 2.
Takanori Ayano (Osaka)