Tsukuba Journal of Mathematics

The Weierstrass semigroups on double covers of genus two curves

Takeshi Harui, Jiryo Komeda, and Akira Ohbuchi

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Abstract

We show that three numerical semigroups $\langle 5, 6, 7, 8\rangle, \langle3, 7, 8\rangle$ and $\langle 3, 5\rangle$ are of double covering type, i.e., the Weierstrass semigroups of ramification points on double covers of curves. Combining the result with [7] and [4] we can determine the Weierstrass semigroups of the ramification points on double covers of genus two curves.

Article information

Source
Tsukuba J. Math., Volume 38, Number 2 (2015), 201-206.

Dates
First available in Project Euclid: 15 April 2015

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1429103721

Digital Object Identifier
doi:10.21099/tkbjm/1429103721

Mathematical Reviews number (MathSciNet)
MR3336268

Zentralblatt MATH identifier
1316.14056

Subjects
Primary: 14H55: Riemann surfaces; Weierstrass points; gap sequences [See also 30Fxx] 14H45: Special curves and curves of low genus 20M14: Commutative semigroups

Keywords
Numerical semigroup Weierstrass semigroup Double cover of a curve Curve of genus two

Citation

Harui, Takeshi; Komeda, Jiryo; Ohbuchi, Akira. The Weierstrass semigroups on double covers of genus two curves. Tsukuba J. Math. 38 (2015), no. 2, 201--206. doi:10.21099/tkbjm/1429103721. https://projecteuclid.org/euclid.tkbjm/1429103721


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