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http://dx.doi.org/10.7468/jksmeb.2021.28.4.399

A WEIERSTRASS SEMIGROUP AT A GENERALIZED FLEX ON A PLANE CURVE  

Kim, Seon Jeong (Department of Mathematics and RINS, Gyeongsang National University)
Kang, Eunju (Department of Information and Communication Engineering, Honam University)
Publication Information
The Pure and Applied Mathematics / v.28, no.4, 2021 , pp. 399-411 More about this Journal
Abstract
We consider a Weierstrass semigroup at a generalized flex on a smooth plane curve. We find the candidates of a Weierstrass semigroup at a 2-flex of higher multiplicity on a smooth plane curve of degree d ≥ 5, and give some examples to show the existence of them.
Keywords
order sequence; Weierstrass point; Weierstrass semigroup; smooth plane curve; inflection point; 2-flex; m-flex;
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