Hilbert’s Fourteenth Problem Invariant Theory Locally Nilpotent Derivations
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 27, No 3, (2001), 171p-192p
We survey counterexamples to Hilbert’s Fourteenth Problem,
beginning with those of Nagata in the late 1950s, and including recent
counterexamples in low dimension constructed with locally nilpotent derivations.
Historical framework and pertinent references are provided. We also include
8 important open questions.