본문 바로가기
KERD
논문KCI 등재

Double covers of plane curves of degree six with almost total flexes

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we study plane curves of degree $6$ with points whose multiplicities of the tangents are $5$. We determine all the Weierstrass semigroups of ramification points on double covers of the plane curves when the genera of the covering curves are greater than $29$ and the ramification points are on the points with multiplicity $5$ of the tangent.

Abstract

In this paper, we study plane curves of degree $6$ with points whose multiplicities of the tangents are $5$. We determine all the Weierstrass semigroups of ramification points on double covers of the plane curves when the genera of the covering curves are greater than $29$ and the ramification points are on the points with multiplicity $5$ of the tangent.

참고문헌 (4)

  1. Takeshi Harui, "Numerical semigroups of genus eight and double coverings of curves of genus three", Semigroup Forum, 89(3), pp.571~581 (2014), Springer Science and Business Media LLC[DOI]
  2. Seon Jeong Kim, "Weierstrass semigroups on double covers of genus 4 curves", Journal of Algebra, 405, pp.142~167 (2014), Elsevier BV[DOI]
  3. S. J. Kim, "Weierstrass semigroups on double covers of plane curves of degree 5", Kodai Math. J, 38(2), pp.270~288 (2015)[DOI]
  4. 김선정, "Weierstrass semigroups on double covers of plane curves of degree six with total flexes", 대한수학회보, 55(2), pp.611~624 (2018), 대한수학회

관련 논문AI추천

이 간행물의 다른 논문 (17건)