The Weierstrass semigroup of a pair of Galois Weierstrass points with prime degree on a curve
type: Item
instance of: scholarly article
title: The Weierstrass semigroup of a pair of Galois Weierstrass points with prime degree on a curve
zbMATH Open document ID: 1082.14036
author: Seon Jeong Kim
author: Jiryo Komeda
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2005-06-16T00:00:00Z
review text: A Galois Weierstrass point with degree \(n\) means a total ramification point of a cyclic covering of the projective line of degree \(n\). In this paper the authors describe the Weierstrass semigroup of a Galois Weierstrass point with prime degree using Morrison-Pinkham equalities [\textit{I. Morrison} and \textit{H. Pinkham}, Ann. Math. (2) 124, 591--625 (1986; Zbl 0624.14018)]. Then they give a condition on the Weierstrass semigroups for existence of a pair of Galois Weierstrass points with prime degree by constructing the defining equation of the curve using their result in \textit{S. J. Kim} and \textit{J. Komeda} [Arch. Math. 76, 265--273 (2001; Zbl 1076.14518)].
reviewed by: Ryutaro Horiuchi
Mathematics Subject Classification ID: 14H55
Mathematics Subject Classification ID: 14H30
Mathematics Subject Classification ID: 14H45
zbMATH DE Number: 2176480
zbMATH Keywords: Weierstrass semigroup of a point
zbMATH Keywords: Weierstrass semigroup of a pair of points
MaRDI profile type: Publication
full work available at URL: s00574-005-0032-4
OpenAlex ID: W2067887039
DOI: 10.1007/S00574-005-0032-4
description: scientific article; zbMATH DE number 2176480