# Weierstrass semigroups at inflection points

• Kim, Seon-Jeong (Department of Mathematics Gyeongsang National University)
• Published : 1995.11.01
• 31 9

#### Abstract

Let C be a smooth complex algebraic curve of genus g. For a divisor D on C, dim D means the dimension of the complete linear series $\mid$D$\mid$ containing D, which is the same as the projective dimension of the vector space of meromorphic functions f on C with divisor of poles $(f)_\infty \leq D$.

#### Keywords

Weierstrass semigroup of a point;Weierstrass semigroup of a pair of points;inflection point