Lüroth's theorem in differential fields
type: Item
instance of: scholarly article
title: Lüroth's theorem in differential fields
zbMATH Open document ID: 1041.12001
author: Tao Xu
author: Xiao-Shan Gao
published in: Journal of Systems Science and Complexity
publication date: 2002-01-01T00:00:00Z
review text: A constructive proof of the differential analogue of the Lüroth theorem is presented. A method for finding the inversion maps for general differential rational parametric equations is given. As a consequence, it is proved that a differential rational curve always has a set of proper parametric equations.
Mathematics Subject Classification ID: 12H05
zbMATH DE Number: 1895577
zbMATH Keywords: differential fields
zbMATH Keywords: Lüroth's theorem
zbMATH Keywords: differential parametric equations
zbMATH Keywords: differential curves
zbMATH Keywords: proper differential equation
reviewed by: E. V. Pankrat'ev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1895577