Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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WEIERSTRASS SEMIGROUPS ON DOUBLE COVERS OF PLANE CURVES OF DEGREE SIX WITH TOTAL FLEXES

  • Kim, Seon Jeong (Department of Mathematics and RINS Gyeongsang National University) ;
  • Komeda, Jiryo (Department of Mathematics Center for Basic Education and Integrated Learning Kanagawa Institute of Technology)
  • Received : 2017.03.06
  • Accepted : 2018.01.12
  • Published : 2018.03.31
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Abstract

In this paper, we study Weierstrass semigroups of ramification points on double covers of plane curves of degree 6. We determine all the Weierstrass semigroups when the genus of the covering curve is greater than 29 and the ramification point is on a total flex.

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References

  1. T. Harui and J. Komeda, Numerical semigroups of genus eight and double coverings of curves of genus three, Semigroup Forum 89 (2014), no. 3, 571-581.
  2. T. Harui and J. Komeda, Numerical semigroups of genus seven and double coverings of curves of genus three, Semigroup Forum 90 (2015), no. 2, 491-502.
  3. T. Harui and J. Komeda, Numerical semigroups of genus six and double coverings of curves of genus three, Semigroup Forum 91 (2015), no. 3, 601-610.
  4. S. J. Kim and J. Komeda, Weierstrass semigroups on double covers of genus 4 curves, J. Algebra 405 (2014), 142-167. https://doi.org/10.1016/j.jalgebra.2014.02.006
  5. S. J. Kim and J. Komeda, Weierstrass semigroups on double covers of plane curves of degree 5, Kodai Math. J. 38 (2015), no. 2, 270-288. https://doi.org/10.2996/kmj/1436403890
  6. J. Komeda, A numerical semigroup from which the semigroup gained by dividing by two is either $\mathbb-N}_0$ or a 2-semigroup or <3, 4, 5>, Research Reports of Kanagawa Institute of Technology B-33 (2009), 37-42.
  7. J. Komeda, On Weierstrass semigroups of double coverings of genus three curves, Semigroup Forum 83 (2011), no. 3, 479-488.