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arXiv · 1311.4143

The Weierstrass semigroups on double covers of genus two curves

Takeshi Harui·Jiryo Komeda·Akira Ohbuchi
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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.

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Takeshi Harui, Jiryo Komeda, Akira Ohbuchi. 2013-11-17. The Weierstrass semigroups on double covers of genus two curves. https://arxiv.org/abs/1311.4143

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