# A Survey of Counterexamples to Hilbert's Fourteenth Problem

Serdica Mathematical Journal (2001)

- Volume: 27, Issue: 3, page 171-192
- ISSN: 1310-6600

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topFreudenburg, 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 -

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