The cyclide as an algebraic surface
type: Item
instance of: scholarly article
title: The cyclide as an algebraic surface
zbMATH Open document ID: 0942.14033
author: A. Bierschneider-Jacobs
published in: Expositiones Mathematicae
publication date: 2000-08-20T00:00:00Z
review text: This paper is an extract from the author's thesis, which has been reviewed in its entirety [``Zykliden'' (Erlangen 1996; Zbl 0878.14025)]. The paper describes, and in some cases gives proofs of the main results of the thesis: normal forms for the equations of a cyclide, real forms of a real cyclide, and a description of a moduli space. The most complete algebro-geometric treatment of cyclides remains \textit{Corrado Segre}'s famous paper: ``Étude des différentes surfaces du quatrième ordre a conique double ou cuspidale (générale ou décomposée) considérées commes des projections de l' intersection de deux variétés quadratiques de l'espace à quatre dimensions'', Math. Ann. 24, 313-444 (1884; JFM 16.0596.01). (The reference is incomplete in the paper under review).
Mathematics Subject Classification ID: 14R99
Mathematics Subject Classification ID: 14J25
zbMATH DE Number: 1310286
zbMATH Keywords: cyclide
zbMATH Keywords: moduli space
zbMATH Keywords: JFM 16.0596.01
reviewed by: T. G. Berry
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1310286