A Survey of Counterexamples to Hilbert's Fourteenth Problem

Freudenburg, Gene. "A Survey of Counterexamples to Hilbert's Fourteenth Problem." Serdica Mathematical Journal 27.3 (2001): 171-192. <http://eudml.org/doc/11538>.

@article{Freudenburg2001,
abstract = {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.},
author = {Freudenburg, Gene},
journal = {Serdica Mathematical Journal},
keywords = {Hilbert’s Fourteenth Problem; Invariant Theory; Locally Nilpotent Derivations; Hilbert's fourteenth problem; invariant theory; locally nilpotent derivations; historical framework},
language = {eng},
number = {3},
pages = {171-192},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Survey of Counterexamples to Hilbert's Fourteenth Problem},
url = {http://eudml.org/doc/11538},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Freudenburg, Gene
TI - A Survey of Counterexamples to Hilbert's Fourteenth Problem
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 3
SP - 171
EP - 192
AB - 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.
LA - eng
KW - Hilbert’s Fourteenth Problem; Invariant Theory; Locally Nilpotent Derivations; Hilbert's fourteenth problem; invariant theory; locally nilpotent derivations; historical framework
UR - http://eudml.org/doc/11538
ER -