The Weierstrass semigroups on double covers of genus two curves
Algebraic Geometry
2013-11-19 v1
Abstract
We show that three numerical semigroups <5,6,7,8>, <3,7,8 > and <3,5> are of double covering type, i.e., the Weierstrass semigroups of ramification points on double covers of curves. Combining this with the results of Oliveira-Pimentel and Komeda we can determine the Weierstrass semigroups of the ramification points on double covers of genus two curves.
Keywords
Cite
@article{arxiv.1311.4143,
title = {The Weierstrass semigroups on double covers of genus two curves},
author = {Takeshi Harui and Jiryo Komeda and Akira Ohbuchi},
journal= {arXiv preprint arXiv:1311.4143},
year = {2013}
}
Comments
5 pages