Genus formula for generalized offset curves
type: Item
instance of: scholarly article
title: Genus formula for generalized offset curves
zbMATH Open document ID: 0944.14014
DOI: 10.1016/S0022-4049(98)00028-0
author: Enrique Arrondo
author: Juana Sendra
author: J. Rafael Sendra
published in: Journal of Pure and Applied Algebra
publication date: 1999-08-23T00:00:00Z
review text: In the paper under review the authors prove a formula for computing the genus of irreducible generalized offset curves to projective irreducible plane curves with only ordinary singularities. This formula expresses the genus of the offset in terms of the degree and the genus of the original curve.
reviewed by: Lucian Bădescu
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 14Q05
zbMATH DE Number: 1308326
zbMATH Keywords: generalized offset curves
zbMATH Keywords: ordinary singularities
zbMATH Keywords: genus
zbMATH Keywords: degree
MaRDI profile type: Publication
cites work: Parametric generalized offsets to hypersurfaces
cites work: Analytic properties of plane offset curves
cites work: Algebraic properties of plane offset curves
cites work: Q4143433
cites work: Q3485890
cites work: Offset-rational parametric plane curves
cites work: Rational curves and surfaces with rational offsets
cites work: Q5630276
cites work: Q4183410
full work available at URL: s0022-4049(98)00028-0
OpenAlex ID: W1977395304
description: scientific article; zbMATH DE number 1308326