The Weierstrass semigroups on double covers of genus two curves

@article{Harui2013TheWS,
  title={The Weierstrass semigroups on double covers of genus two curves},
  author={Takeshi Harui and J. Komeda and Akira Ohbuchi},
  journal={arXiv: Algebraic Geometry},
  year={2013}
}
We show that three numerical semigroups , and 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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References

SHOWING 1-5 OF 5 REFERENCES
On Weierstrass semigroups of double coverings of genus three curves
  • 10
  • PDF
On Weierstrass points whose first non-gaps are four.
  • 47
A numerical semigroup from which the semigroup gained by dividing by two is either N0 or a 2-semigroup or 〈3,4,5〉
  • 7
  • Highly Influential