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/