한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제28권4호
  • /
  • Pages.399-411
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  • 2021
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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A WEIERSTRASS SEMIGROUP AT A GENERALIZED FLEX ON A PLANE CURVE

  • Kim, Seon Jeong (Department of Mathematics and RINS, Gyeongsang National University) ;
  • Kang, Eunju (Department of Information and Communication Engineering, Honam University)
  • 투고 : 2021.09.13
  • 심사 : 2021.10.20
  • 발행 : 2021.11.30
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초록

We consider a Weierstrass semigroup at a generalized flex on a smooth plane curve. We find the candidates of a Weierstrass semigroup at a 2-flex of higher multiplicity on a smooth plane curve of degree d ≥ 5, and give some examples to show the existence of them.

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과제정보

The first author was partially supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (2016R1D1A1B01011730).

참고문헌

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  2. B. Brieskorn & H. Knorrer: Plane Algebraic Curves. Modern Birkhauser Classics, Springer Basel, 2012.
  3. S.J. Kim & J. Komeda: The Weierstrass semigroups on the quotient curve of a plane curve of degree ≤ 7 by an involution. Journal of Algebra 322 (2009), 137-152. https://doi.org/10.1016/j.jalgebra.2009.03.023
  4. M. Namba: Families of meromorphic functions on compact Riemann surfaces. Lecture Notes in Math. 767, Springer-Verlag, Berlin, 1979.
  5. J.G. Semple & L. Roth: Introduction to Algebraic Geometry. Oxford University Press, 1985.