Higher order differentials and Weierstrass points on Gorenstein curves
type: Item
instance of: scholarly article
title: Higher order differentials and Weierstrass points on Gorenstein curves
zbMATH Open document ID: 0839.14019
DOI: 10.1007/BF02568204
author: Cicero Carvalho
author: Karl-Otto Stöhr
published in: Manuscripta Mathematica
publication date: 1996-06-23T00:00:00Z
full work available at URL: https://eudml.org/doc/156028
review text: The paper begins with an analysis of the divisor of a (higher order) differential on a Gorenstein curve. In particular the behaviour of such a divisor under desingularisation is investigated. Furthermore the notion of the ramification divisor for a possibly singular curve is introduced. Using this ramification divisor the authors find that the theory of Weierstrass points on a singular curve is a simple generalisation of the corresponding theory for non-singular curves.
Mathematics Subject Classification ID: 14H55
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 14C20
zbMATH DE Number: 724664
zbMATH Keywords: divisor of a differential
zbMATH Keywords: Gorenstein curve
zbMATH Keywords: desingularisation
zbMATH Keywords: ramification divisor
zbMATH Keywords: Weierstrass points on a singular curve
reviewed by: Guido Van Steen
MaRDI profile type: Publication
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OpenAlex ID: W2055581799
description: scientific article; zbMATH DE number 724664