Subspaces of trigonal Riemann surfaces
type: Item
instance of: scholarly article
title: Subspaces of trigonal Riemann surfaces
zbMATH Open document ID: 0699.14032
author: Takao Kato
published in: Kodai Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The paper continues the study of trigonal Riemann surfaces, \(y^ 3=Q(x)y+R(x)\), of genus \(g\geq 5\) which was begun in the author's joint article with \textit{R. Horiuchi} [J. Pure Appl. Algebra 50, No. 3, 271--285 (1988; Zbl 0649.14009)] where such curves were classified by the type of the ramification points. The author shows how to determine the genus, kind and type of ramification points for a given equation. Then considering the sets of trigonal curves given by their kind and numbers of ramification points of types I and II as subsets of the Teichmüller space some incidence relations are proven.
Mathematics Subject Classification ID: 14H55
Mathematics Subject Classification ID: 14H20
zbMATH DE Number: 4146127
zbMATH Keywords: trigonal Riemann surfaces
zbMATH Keywords: ramification points
zbMATH Keywords: genus
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138038991
OpenAlex ID: W1986042944
cites work: Q3720720
cites work: The Weierstrass gap sequence of the ordinary ramification points of trigonal coverings of \({\mathbb{P}}^ 1\); existence of a kind of Weierstrass gap sequence
cites work: Weierstrass points on trigonal curves. I: The ramification points
cites work: Schiffer's interior variation and quasiconformal mapping
cites work: On Weierstraß points whose first non-gaps are three.
cites work: Weierstrass gap sequences at the ramification points of trigonal Riemann surfaces
DOI: 10.2996/KMJ/1138038991
description: scientific article; zbMATH DE number 4146127