A Survey of Counterexamples to Hilbert's Fourteenth Problem
@article{Freudenburg2001ASO, title={A Survey of Counterexamples to Hilbert's Fourteenth Problem}, author={Gene Freudenburg}, journal={Serdica. Mathematical Journal}, year={2001}, volume={27}, pages={171-192} }
We survey counterexamples to Hilbert's Fourteenth Problem, beginning with those of Nagata in the late 1950s, and including recent coun- terexamples in low dimension constructed with locally nilpotent derivations. Historical framework and pertinent references are provided. We also include 8 important open questions.
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