Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A WEIERSTRASS SEMIGROUP AT A PAIR OF INFLECTION POINTS ON A SMOOTH PLANE CURVE

  • Kang, Eun-Ju (DEPARTMENT OF INFORMATION AND COMMUNICATION ENGINEERING HONAM UNIVERSITY) ;
  • Kim, Seon-Jeong (DEPARTMENT OF MATHEMATICS AND RINS GYEONGSANG NATIONAL UNIVERSITY)
  • Published : 2007.05.31
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Abstract

We classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d or d-1 on a smooth plane curve of degree d.

Keywords

References

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  4. S. J. Kim and J. Komeda, Weierstrass semigroups of a pair of points whose first nongaps are three, Geom. Dedicata 93 (2002), 113-119 https://doi.org/10.1023/A:1020301422774

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  3. A double covering of curves on a Hirzebruch surface of degree one and Weierstrass semigroups pp.1432-2137, 2019, https://doi.org/10.1007/s00233-018-9970-1