A Weierstrass Semigroup at a Pair of inflection points with High Multiplicities
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In the previous paper of authors(2007), we classified the Weierstrass semigroups at a pair of inflection points of multiplicities $d$ and $d-1$ on a smooth plane curve of degree $d$. In this paper, as a continuation of those results, we classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities $d$, $d-1$ and $d-2$ on a smooth plane curve of degree $d$.
Abstract
In the previous paper of authors(2007), we classified the Weierstrass semigroups at a pair of inflection points of multiplicities $d$ and $d-1$ on a smooth plane curve of degree $d$. In this paper, as a continuation of those results, we classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities $d$, $d-1$ and $d-2$ on a smooth plane curve of degree $d$.
참고문헌 (6)
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- 강은주, "A Weierstrass semigroup at a pair of inflection points on a smooth plane curve", 대한수학회보, 44(2), pp.369~378 (2007), 대한수학회
- S. J. Kim, "On the index of the Weierstrass semigroup of a pair of points on a curve", Arch. Math, 62, pp.73~82 (1994)
- S.J. Kim, "Weierstrass semigroups of pairs of points whose first non-gaps are three", Geom. Dedicata, 93(2), pp.113~119 (2002)