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March 20, 2007Open Access

Weierstrass points on a non-singular plane curve of degree 7

Jiryo Komeda Jeong Kim Seon

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Key Points

This research aims to identify all candidates for Weierstrass semigroups related to points on a nonsingular plane curve of degree 7.
Analyzed properties of Weierstrass points
Examined the structure of semigroups
Utilized algebraic geometry techniques
Identified distinct candidates for Weierstrass semigroups
Characterized the relationship between points and curve properties
Confirmed the completeness of candidates for this degree

Implication

Research identifies candidates for Weierstrass semigroups in non-singular curves of degree 7, suggesting novel insights for algebraic geometry.

Abstract

We determine all the candidates for Weierstrass semigroups of points on a nonsingular plane curve of degree 7.

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Cite This Study

Komeda et al. (2007) studied this question.

synapsesocial.com/papers/69cd7ac55652765b073a8361 https://doi.org/10.34411/00001003

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