DOUBLE COVERS OF PLANE CURVES OF DEGREE SIX WITH ALMOST TOTAL FLEXES

  • Kim, Seon Jeong
  • Komeda, Jiryo
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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.

키워드

numerical semigroupWeierstrass semigroup of a pointdouble cover of a curveplane curve of degree 6WEIERSTRASS SEMIGROUPS
제목
DOUBLE COVERS OF PLANE CURVES OF DEGREE SIX WITH ALMOST TOTAL FLEXES
저자
Kim, Seon JeongKomeda, Jiryo
DOI
10.4134/BKMS.b180915
발행일
2019-09
유형
Article
저널명
대한수학회보
56
5
페이지
1159 ~ 1186