The Weierstrass gap sequence of the ordinary ramification points of trigonal coverings of \({\mathbb{P}}^ 1\); existence of a kind of Weierstrass gap sequence
type: Item
instance of: scholarly article
title: The Weierstrass gap sequence of the ordinary ramification points of trigonal coverings of \({\mathbb{P}}^ 1\); existence of a kind of Weierstrass gap sequence
zbMATH Open document ID: 0616.14012
DOI: 10.1016/0022-4049(86)90002-2
published in: Journal of Pure and Applied Algebra
publication date: 1986-01-01T00:00:00Z
review text: Here it is proved that \((1,2,3,4,...,2m-3,2m-2,2m-1,2m,2m+2,2m+4,...,2n)\) and \((1,2,3,4,...,2m-3,2m-2,2m-1,2m,2m+1,2m+3,2m+5,...,2n+1)\) with \(n\leq 2m\) are exactly the possible Weierstraß gap sequences for an ordinary ramification point of a trigonal covering \(f: C\to {\mathbb{P}}^ 1.\)
Mathematics Subject Classification ID: 14H55
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 14E22
zbMATH DE Number: 3997967
zbMATH Keywords: Weierstraß point
zbMATH Keywords: trigonal curve
zbMATH Keywords: Weierstraß gap sequences
zbMATH Keywords: ramification point
zbMATH Keywords: trigonal covering
MaRDI profile type: Publication
full work available at URL: 0022-4049(86)90002-2
OpenAlex ID: W2094697106
cites work: Q4175362
cites work: On the monodromy of Weierstrass points
cites work: Weierstrass points on trigonal curves of genus five
cites work: Q3720720
cites work: Limit linear series, the irrationality of 𝑀_{𝑔}, and other applications
cites work: Q4195061
cites work: Le serie lineari speciali sulle curve trigonali
cites work: Q4183411
author: Marc Coppens
description: scientific article; zbMATH DE number 3997967