We give an overview of recent results concerning kernels of triangular derivations of polynomial rings. In particular, we examine the question of finite generation in dimensions 4, 5, 6, and 7.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-9,
author = {Gene Freudenburg},
title = {Recent progress on Hilbert's Fourteenth Problem via triangular derivations},
journal = {Annales Polonici Mathematici},
volume = {77},
year = {2001},
pages = {95-99},
zbl = {0985.13011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-9}
}
Gene Freudenburg. Recent progress on Hilbert's Fourteenth Problem via triangular derivations. Annales Polonici Mathematici, Tome 77 (2001) pp. 95-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-1-9/