한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제27권4호
  • /
  • Pages.251-267
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  • 2020
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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WEIERSTRASS SEMIGROUPS AT PAIRS OF NON-WEIERSTRASS POINTS ON A SMOOTH PLANE CURVE OF DEGREE 5

  • Cheon, Eun Ju (Department of Mathematics and RINS, Gyeongsang National University) ;
  • Kim, Seon Jeong (Department of Mathematics and RINS, Gyeongsang National University)
  • 투고 : 2020.10.28
  • 심사 : 2020.11.06
  • 발행 : 2020.11.30
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초록

We classify all semigroups each of which arises as a Weierstrass semigroup at a pair of non-Weierstrass points on a smooth plane curve of degree 5. First we find the candidates of semigroups by computing the dimensions of linear series on the curve. Then, by constructing examples of smooth plane curves of degree 5, we prove that each of the candidates is actually a Weierstrass semigroup at some pair of points on the curve. We need to study the systems of quadratic curves, which cut out the canonical series on the plane curve of degree 5.

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참고문헌

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