On the distribution of ramification points in trigonal curves

We study the distribution of the total and ordinary ramification points of a trigonal curve over the intersection of this curve with rational curves on a rational normal scroll. We show, among other results, that these intersections may contain all the ramification points of the trigonal curve.

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Bibliographic Details
Main Author: Cícero F. Carvalho
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299224891
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author Cícero F. Carvalho
author_facet Cícero F. Carvalho
author_sort Cícero F. Carvalho
collection DOAJ
description We study the distribution of the total and ordinary ramification points of a trigonal curve over the intersection of this curve with rational curves on a rational normal scroll. We show, among other results, that these intersections may contain all the ramification points of the trigonal curve.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1999-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d54b1e79645245c8b6823b118d69352f2025-02-03T06:08:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122348949610.1155/S0161171299224891On the distribution of ramification points in trigonal curvesCícero F. Carvalho0Departmento de Matemática, Universidade Federal de Uberlândia, Av. Universitária s/n., Uberlândia 38400, MG, BrazilWe study the distribution of the total and ordinary ramification points of a trigonal curve over the intersection of this curve with rational curves on a rational normal scroll. We show, among other results, that these intersections may contain all the ramification points of the trigonal curve.http://dx.doi.org/10.1155/S0161171299224891Trigonal curvesramification pointscurves on surfaces.
spellingShingle Cícero F. Carvalho
On the distribution of ramification points in trigonal curves
International Journal of Mathematics and Mathematical Sciences
Trigonal curves
ramification points
curves on surfaces.
title On the distribution of ramification points in trigonal curves
title_full On the distribution of ramification points in trigonal curves
title_fullStr On the distribution of ramification points in trigonal curves
title_full_unstemmed On the distribution of ramification points in trigonal curves
title_short On the distribution of ramification points in trigonal curves
title_sort on the distribution of ramification points in trigonal curves
topic Trigonal curves
ramification points
curves on surfaces.
url http://dx.doi.org/10.1155/S0161171299224891
work_keys_str_mv AT cicerofcarvalho onthedistributionoframificationpointsintrigonalcurves