A counterexample to the fourteenth problem of Hilbert in dimension four
type: Item
instance of: scholarly article
title: A counterexample to the fourteenth problem of Hilbert in dimension four
zbMATH Open document ID: 1099.13035
author: Shigeru Kuroda
published in: Journal of Algebra
publication date: 2004-11-22T00:00:00Z
review text: From the author's abstract: This paper presents a family of new counterexamples to Hilbert's fourteenth problem. They are realized as subfields of the rational function field of four variables over a field of characteristic zero of transcendence degree three. It was previously not known whether any counterexample could be found as a subfield of a rational function field of four variables, or whether counterexamples with minimal transcendence degree three could exist.
reviewed by: Ali Benhissi
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13A50
zbMATH DE Number: 2117259
zbMATH Keywords: Hilbert's fourteenth problem
zbMATH Keywords: rational function field
zbMATH Keywords: transcendence degree
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2004.05.002
OpenAlex ID: W2091509672
Wikidata QID: Q112881487
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DOI: 10.1016/J.JALGEBRA.2004.05.002
description: scientific article; zbMATH DE number 2117259