We give a short proof of a counterexample (due to Daigle and Freudenburg) to Hilbert's fourteenth problem in dimension five.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-1-15,
author = {Arno van den Essen},
title = {A simple solution of Hilbert's fourteenth problem in dimension five},
journal = {Colloquium Mathematicae},
volume = {106},
year = {2006},
pages = {167-170},
zbl = {1091.14020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-1-15}
}
Arno van den Essen. A simple solution of Hilbert's fourteenth problem in dimension five. Colloquium Mathematicae, Tome 106 (2006) pp. 167-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-1-15/