A Counterexample to Hilbert's Fourteenth Problem in Dimension 5

✍ Scribed by Daniel Daigle; Gene Freudenburg

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 79 KB
• Volume: 221
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1999.7987

✦ Synopsis

The kernel of a certain triangular derivation of the polynomial ring k x 1 x 2 x 3 x 4 x 5 is shown to be non-finitely generated over k (a field of characteristic zero), thus giving a new counterexample to Hilbert's Fourteenth Problem, in the lowest dimension to date.