대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제44권2호
  • /
  • Pages.369-378
  • /
  • 2007
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 발행 : 2007.05.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. M. Coppens and T. Kato, The Weierstrass gap sequence at an inflection point on a nodal plane curve, aligned inflection points on plane curves, Boll. Un. Mat. Ital. B (7) 11 (1997), no. 1, 1-33
  2. M. Homma, The Weierstrass semigroup of a pair of points on a curve, Arch. Math. (Basel) 67 (1996), no. 4, 337-348 https://doi.org/10.1007/BF01197599
  3. S. J. Kim, On the index of the Weierstrass semigroup of a pair of points on a curve, Arch. Math. (Basel) 62 (1994), no. 1, 73-82 https://doi.org/10.1007/BF01200442
  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

피인용 문헌

  1. On extensions of a double covering of plane curves and Weierstrass semigroups of the double covering type vol.91, pp.2, 2015, https://doi.org/10.1007/s00233-015-9718-0
  2. An example of the Weierstrass semigroup of a pointed curve on K3 surfaces vol.86, pp.2, 2013, https://doi.org/10.1007/s00233-012-9464-5
  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